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2 <p>Last updated on<strong>August 5, 2025</strong></p>

3 <p>The Least Common Multiple (LCM) is the smallest number that when we divide by two or more numbers at a time, all three or more numbers divide into it. LCM also helps in math problems and everyday things like event planning or buying supplies. We will find the LCM of 6 and 16 together and what that really means.</p>

4 <h2>What Is The LCM Of 6 And 16?</h2>

5 <p>The LCM or the<a>least common multiple</a><a>of</a>2<a>numbers</a>is the smallest number that appears as a multiple of both numbers. In case of 6 and 16, The LCM is 48. But how did we get to this answer? There are different ways to obtain a LCM of 2 or more numbers. Let us take a look at those methods. </p>

6 <h2>How To Find The LCM Of 6 And 16</h2>

7 <p>Remember that we previously said there are plenty of ways to calculate the LCM of two numbers or more. Then some of those methods make it extremely easy for us to find the LCM of any two numbers. Those methods are: </p>

8 <ul><li>Listing of Multiples</li>

9 </ul><ul><li>Prime Factorization</li>

10 </ul><ul><li>Division Method</li>

11 </ul><p>Finally, now we will learn how each of these methods can help us to calculate LCM of given numbers. </p>

12 <h3>Finding LCM Of 6 And 16 By Listing Of Multiples</h3>

13 <p>This method will help us find the LCM of the numbers by listing the<a>multiples</a>of the given numbers. Let us take a step by step look at this method.</p>

14 <p>The first step is to list all the multiples of the given numbers.</p>

15 <p>Multiples Of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54 and 60.</p>

16 <p>Multiples Of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144 and 160</p>

17 <p>The second step is to find the smallest<a>common multiples</a>in both the numbers. In this case, that number is 48 as highlighted above.</p>

18 <p>By this way we will be able to tell the LCM of given numbers. </p>

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21 <h3>Finding The LCM By Prime Factorization</h3>

20 <h3>Finding The LCM By Prime Factorization</h3>

22 <p>Let us break down the process of<a>prime factorization</a>into steps and make it easy for children to understand. The first step is to break down the given numbers into its primal form. The primal form of the number is:</p>

21 <p>Let us break down the process of<a>prime factorization</a>into steps and make it easy for children to understand. The first step is to break down the given numbers into its primal form. The primal form of the number is:</p>

23 <p>6= 3×2</p>

22 <p>6= 3×2</p>

24 <p>16= 2×2×2×2</p>

23 <p>16= 2×2×2×2</p>

25 <p>As you can see, 2 appears as a prime<a>factor</a>in both numbers. So instead of considering 2 five times, we will only consider it four times. So the final<a>equation</a>will look like (2×2×2×2×3).</p>

24 <p>As you can see, 2 appears as a prime<a>factor</a>in both numbers. So instead of considering 2 five times, we will only consider it four times. So the final<a>equation</a>will look like (2×2×2×2×3).</p>

26 <p>So after the<a>multiplication</a>, we will be getting the LCM as 48.</p>

25 <p>So after the<a>multiplication</a>, we will be getting the LCM as 48.</p>

27 <p>As you can see, using this method can be easier for larger numbers compared to the previous method. </p>

26 <p>As you can see, using this method can be easier for larger numbers compared to the previous method. </p>

28 <h3>Finding The LCM By Division Method</h3>

27 <h3>Finding The LCM By Division Method</h3>

29 <p>The method to calculate the LCM is really simple. We’ll break these given numbers apart till it comes down to one, by dividing it by the prime factors. The<a>product</a>of the divisors that will come is the LCM of the given numbers.</p>

28 <p>The method to calculate the LCM is really simple. We’ll break these given numbers apart till it comes down to one, by dividing it by the prime factors. The<a>product</a>of the divisors that will come is the LCM of the given numbers.</p>

30 <p>Let us understand it step by step:</p>

29 <p>Let us understand it step by step:</p>

31 <ul><li>The first thing is to find the number common in both the numbers. Here it is 2. In that case, we divide both the numbers by 2. It will reduce the values of the numbers to 3 and 8.</li>

30 <ul><li>The first thing is to find the number common in both the numbers. Here it is 2. In that case, we divide both the numbers by 2. It will reduce the values of the numbers to 3 and 8.</li>

32 </ul><ul><li>3 is a<a>prime number</a>, it can be divided by only 3. That means After dividing, there will be only 8 left. This can be divided by 2 which will make it 4. This can be divided again to bring it down to 2. As 2 is a prime number, it can only be divided by 2. After this step, there will only be 1’s left in the last row.</li>

31 </ul><ul><li>3 is a<a>prime number</a>, it can be divided by only 3. That means After dividing, there will be only 8 left. This can be divided by 2 which will make it 4. This can be divided again to bring it down to 2. As 2 is a prime number, it can only be divided by 2. After this step, there will only be 1’s left in the last row.</li>

33 </ul><ul><li>This is the end of<a>division</a>. However, we will now find the product of the numbers on the left. The numbers on the left side are 2, 2, 2, 2, and 3. </li>

32 </ul><ul><li>This is the end of<a>division</a>. However, we will now find the product of the numbers on the left. The numbers on the left side are 2, 2, 2, 2, and 3. </li>

34 </ul><p>These numbers multiplied give 48. On this basis, therefore, the LCM of the 6 and 16 becomes 48. </p>

33 </ul><p>These numbers multiplied give 48. On this basis, therefore, the LCM of the 6 and 16 becomes 48. </p>

35 <h2>Common Mistakes That Are Made And How To Avoid Them in LCM Of 6 And 16.</h2>

34 <h2>Common Mistakes That Are Made And How To Avoid Them in LCM Of 6 And 16.</h2>

36 <p>Let us look at some of the common mistakes that can happen while solving a given assignment regarding LCM. </p>

35 <p>Let us look at some of the common mistakes that can happen while solving a given assignment regarding LCM. </p>

37 <h3>Problem 1</h3>

36 <h3>Problem 1</h3>

38 <p>Suppose the length of each balloon is 6 inches and 16 inches long, what is the least length to accommodate both?</p>

37 <p>Suppose the length of each balloon is 6 inches and 16 inches long, what is the least length to accommodate both?</p>

39 <p>Okay, lets begin</p>

38 <p>Okay, lets begin</p>

40 <p> The least length is 48 inches. </p>

39 <p> The least length is 48 inches. </p>

41 <h3>Explanation</h3>

40 <h3>Explanation</h3>

42 <p> 48 inches is the smallest length that can fit both 6-inch and 16-inch balloons without needing to cut or fold them. </p>

41 <p> 48 inches is the smallest length that can fit both 6-inch and 16-inch balloons without needing to cut or fold them. </p>

43 <p>Well explained 👍</p>

42 <p>Well explained 👍</p>

44 <h3>Problem 2</h3>

43 <h3>Problem 2</h3>

45 <p>Two kids have crayons: one with 6 colors, and another with 16 colors. What’s the smallest number of colors to have both?</p>

44 <p>Two kids have crayons: one with 6 colors, and another with 16 colors. What’s the smallest number of colors to have both?</p>

46 <p>Okay, lets begin</p>

45 <p>Okay, lets begin</p>

47 <p>48 is the smallest number of colors both can have. </p>

46 <p>48 is the smallest number of colors both can have. </p>

48 <h3>Explanation</h3>

47 <h3>Explanation</h3>

49 <p>The smallest number that 6 and 16 can both fit into is 48, so both can share all colors. </p>

48 <p>The smallest number that 6 and 16 can both fit into is 48, so both can share all colors. </p>

50 <p>Well explained 👍</p>

49 <p>Well explained 👍</p>

51 <h3>Problem 3</h3>

50 <h3>Problem 3</h3>

52 <p>There are 6 tables and 16 chairs at a party. How many can you fit and evenly?</p>

51 <p>There are 6 tables and 16 chairs at a party. How many can you fit and evenly?</p>

53 <p>Okay, lets begin</p>

52 <p>Okay, lets begin</p>

54 <p>You can fit 48 guests evenly, with 8 guests at each of the 6 tables. </p>

53 <p>You can fit 48 guests evenly, with 8 guests at each of the 6 tables. </p>

55 <h3>Explanation</h3>

54 <h3>Explanation</h3>

56 <p>If there are 6 tables and 8 guests sit at each table, you multiply 6 times 8 to get 48 guests in total. </p>

55 <p>If there are 6 tables and 8 guests sit at each table, you multiply 6 times 8 to get 48 guests in total. </p>

57 <p>Well explained 👍</p>

56 <p>Well explained 👍</p>

58 <h3>Problem 4</h3>

57 <h3>Problem 4</h3>

59 <p>If you have 6 gift boxes and 16 ribbons, what’s the least number of gifts to use all?</p>

58 <p>If you have 6 gift boxes and 16 ribbons, what’s the least number of gifts to use all?</p>

60 <p>Okay, lets begin</p>

59 <p>Okay, lets begin</p>

61 <p>48 gifts is the smallest number that fits perfectly with 6 boxes and 16 ribbons.</p>

60 <p>48 gifts is the smallest number that fits perfectly with 6 boxes and 16 ribbons.</p>

62 <h3>Explanation</h3>

61 <h3>Explanation</h3>

63 <p>To use all 6 boxes and 16 ribbons with no leftovers, 48 gifts work, as it is divided evenly by both 6 and 16. </p>

62 <p>To use all 6 boxes and 16 ribbons with no leftovers, 48 gifts work, as it is divided evenly by both 6 and 16. </p>

64 <p>Well explained 👍</p>

63 <p>Well explained 👍</p>

65 <h3>Problem 5</h3>

64 <h3>Problem 5</h3>

66 <p>Two have 6 gears and two 16 gears. How many gear cycles is the least for both?</p>

65 <p>Two have 6 gears and two 16 gears. How many gear cycles is the least for both?</p>

67 <p>Okay, lets begin</p>

66 <p>Okay, lets begin</p>

68 <p> The least gear cycle for both is 48.</p>

67 <p> The least gear cycle for both is 48.</p>

69 <h3>Explanation</h3>

68 <h3>Explanation</h3>

70 <p>The smallest number of cycles both gears will align is 48. This happens when you find the LCM (The Least Common Multiple) of 6 and 16. </p>

69 <p>The smallest number of cycles both gears will align is 48. This happens when you find the LCM (The Least Common Multiple) of 6 and 16. </p>

71 <p>Well explained 👍</p>

70 <p>Well explained 👍</p>

72 <h2>FAQs For LCM Of 6 And 16</h2>

71 <h2>FAQs For LCM Of 6 And 16</h2>

73 <h3>1.What is the LCM of 6 and 16?</h3>

72 <h3>1.What is the LCM of 6 and 16?</h3>

74 <p> The LCM of 6 and 16 is 48 as 48 is the smallest number by which both can exactly divide into</p>

73 <p> The LCM of 6 and 16 is 48 as 48 is the smallest number by which both can exactly divide into</p>

75 <h3>2.How do you find the LCM of 2 and 4?</h3>

74 <h3>2.How do you find the LCM of 2 and 4?</h3>

76 <p>To find the LCM of 2 and 4, list their multiples: 2 (2, 4, 6…) and 4 (4, 8…). The smallest number to which both 2 and 4 divides into, that number is called the LCM of 2 and 4, and it will be 4 because 4 is the smallest common multiple of 2 and 4. </p>

75 <p>To find the LCM of 2 and 4, list their multiples: 2 (2, 4, 6…) and 4 (4, 8…). The smallest number to which both 2 and 4 divides into, that number is called the LCM of 2 and 4, and it will be 4 because 4 is the smallest common multiple of 2 and 4. </p>

77 <h3>3.What are the multiples of 6 and 16 up to 48?</h3>

76 <h3>3.What are the multiples of 6 and 16 up to 48?</h3>

78 <p>Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48</p>

77 <p>Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48</p>

79 <p>Multiples of 16: 16, 32, 48.</p>

78 <p>Multiples of 16: 16, 32, 48.</p>

80 <p>48 is the first common multiple. </p>

79 <p>48 is the first common multiple. </p>

81 <h3>4.Can the LCM of 6 and 16 be a prime number?</h3>

80 <h3>4.Can the LCM of 6 and 16 be a prime number?</h3>

82 <p>The LCM of 6 and 16 is not the prime number. That’s 48, which is a composite, meaning it has one or more factors besides 1 and itself. </p>

81 <p>The LCM of 6 and 16 is not the prime number. That’s 48, which is a composite, meaning it has one or more factors besides 1 and itself. </p>

83 <h3>5.What is the GCF of 6 and 16?</h3>

82 <h3>5.What is the GCF of 6 and 16?</h3>

84 <h2>Important Glossaries for LCM of 6 and 16</h2>

83 <h2>Important Glossaries for LCM of 6 and 16</h2>

85 <ul><li><strong>Multiple:</strong>A number that can be made by multiplying a given number by an integer (like 1, 2, 3, etc.). For example, multiples of 6 include 6, 12, 18, and so on.</li>

84 <ul><li><strong>Multiple:</strong>A number that can be made by multiplying a given number by an integer (like 1, 2, 3, etc.). For example, multiples of 6 include 6, 12, 18, and so on.</li>

86 </ul><ul><li><strong>Prime Factorization:</strong>Breaking down a number into its prime factors. For example, the prime factorization of 6 is 2 × 3.</li>

85 </ul><ul><li><strong>Prime Factorization:</strong>Breaking down a number into its prime factors. For example, the prime factorization of 6 is 2 × 3.</li>

87 </ul><ul><li><strong>Common Factor:</strong>A number that can divide two or more numbers without leaving a remainder. For instance, 2 is a common factor of 6 and 16.</li>

86 </ul><ul><li><strong>Common Factor:</strong>A number that can divide two or more numbers without leaving a remainder. For instance, 2 is a common factor of 6 and 16.</li>

88 </ul><ul><li><strong>Divisibility:</strong>A term that describes whether one number can be divided by another without leaving a remainder. For example, 6 is divisible by 3. </li>

87 </ul><ul><li><strong>Divisibility:</strong>A term that describes whether one number can be divided by another without leaving a remainder. For example, 6 is divisible by 3. </li>

89 </ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>

88 </ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>

90 <p>▶</p>

89 <p>▶</p>