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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 20 together and what that really means.</p>

4 <h2>What Is The LCM Of 6 And 20?</h2>

5 <p>The LCM or the<a>least common multiple</a>of 2<a>numbers</a>is the smallest number that appears as a multiple of both numbers. In case of 6 and 20, The LCM is 60. 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 20</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 20 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 <ul><li>The first step is to list all the multiples of the given numbers.</li>

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

16 <p>Multiples Of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180 and 200.</p>

17 <ul><li>The second step is to find the smallest<a>common multiples</a>in both the numbers. In this case, that number is 60 as highlighted above.</li>

18 </ul><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.</p>

21 <p>Let us break down the process of<a>prime factorization</a>into steps and make it easy for children to understand.</p>

23 <ul><li>The first step is to break down the given numbers into its primal form. The primal form of the number is:</li>

22 <ul><li>The first step is to break down the given numbers into its primal form. The primal form of the number is:</li>

24 </ul><p>6= 3×2 </p>

23 </ul><p>6= 3×2 </p>

25 <p>20= 2×2×5</p>

24 <p>20= 2×2×5</p>

26 <ul><li>As you can see, 2 appears as a prime<a>factor</a>in both numbers. So instead of considering 2 three times, we will only consider it two times. So the final<a>equation</a>will look like (3×2×2×5).</li>

25 <ul><li>As you can see, 2 appears as a prime<a>factor</a>in both numbers. So instead of considering 2 three times, we will only consider it two times. So the final<a>equation</a>will look like (3×2×2×5).</li>

27 </ul><ul><li>So after the<a>multiplication</a>, we will be getting the LCM as 60.</li>

26 </ul><ul><li>So after the<a>multiplication</a>, we will be getting the LCM as 60.</li>

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

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

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

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

30 <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>

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>

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

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

32 <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 10.</li>

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 10.</li>

33 </ul><ul><li>Then we will divide 10 by 2 and 3 is a<a>prime number</a>. The 10 will be reduced to 5. As both 5 and 3 are prime numbers, it can’t be divided by any other number other than themselves. After this step, the last row will be 1’s.</li>

32 </ul><ul><li>Then we will divide 10 by 2 and 3 is a<a>prime number</a>. The 10 will be reduced to 5. As both 5 and 3 are prime numbers, it can’t be divided by any other number other than themselves. After this step, the last row will be 1’s.</li>

34 </ul><ul><li>As the numbers in the last row now are 1, we will take the numbers on the left side and find the product of those numbers. The final equation will look like this: (3×2×2×5).</li>

33 </ul><ul><li>As the numbers in the last row now are 1, we will take the numbers on the left side and find the product of those numbers. The final equation will look like this: (3×2×2×5).</li>

35 </ul><p>These numbers multiplied give 60. On this basis, therefore, the LCM of the 6 and 20 becomes 60. </p>

34 </ul><p>These numbers multiplied give 60. On this basis, therefore, the LCM of the 6 and 20 becomes 60. </p>

36 <h2>Common Mistakes And How To Avoid Them For LCM Of 6 And 20.</h2>

35 <h2>Common Mistakes And How To Avoid Them For LCM Of 6 And 20.</h2>

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

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

38 <h3>Problem 1</h3>

37 <h3>Problem 1</h3>

39 <p>Emma has 6 toy cars and 20 toy soldiers. What if each group gets the same amount of toys, how many total toys will she have?</p>

38 <p>Emma has 6 toy cars and 20 toy soldiers. What if each group gets the same amount of toys, how many total toys will she have?</p>

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

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

41 <p> Emma will need 60 toys in total. </p>

40 <p> Emma will need 60 toys in total. </p>

42 <h3>Explanation</h3>

41 <h3>Explanation</h3>

43 <p>The LCM (the least common multiple) of 6 and 20 is 60. This means she can share toys in equal groups without any leftovers. </p>

42 <p>The LCM (the least common multiple) of 6 and 20 is 60. This means she can share toys in equal groups without any leftovers. </p>

44 <p>Well explained 👍</p>

43 <p>Well explained 👍</p>

45 <h3>Problem 2</h3>

44 <h3>Problem 2</h3>

46 <p>Two friends ride their bicycles every 6 and 20 days. When will they ride together?</p>

45 <p>Two friends ride their bicycles every 6 and 20 days. When will they ride together?</p>

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

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

48 <p>They will ride together in 60 days. </p>

47 <p>They will ride together in 60 days. </p>

49 <h3>Explanation</h3>

48 <h3>Explanation</h3>

50 <p> The least common multiple (LCM) of 6 and 20 is 60. This means both friends will meet every 60 days to ride together. </p>

49 <p> The least common multiple (LCM) of 6 and 20 is 60. This means both friends will meet every 60 days to ride together. </p>

51 <p>Well explained 👍</p>

50 <p>Well explained 👍</p>

52 <h3>Problem 3</h3>

51 <h3>Problem 3</h3>

53 <p>Suppose that a bell rings every 6 minutes, and another bell rings every 20 minutes. At what time will the bells sound together?</p>

52 <p>Suppose that a bell rings every 6 minutes, and another bell rings every 20 minutes. At what time will the bells sound together?</p>

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

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

55 <p>The bells will ring together every 60 minutes. </p>

54 <p>The bells will ring together every 60 minutes. </p>

56 <h3>Explanation</h3>

55 <h3>Explanation</h3>

57 <p> The LCM of 6 and 20 is 60. This means the bells will both ring together again after 60 minutes. </p>

56 <p> The LCM of 6 and 20 is 60. This means the bells will both ring together again after 60 minutes. </p>

58 <p>Well explained 👍</p>

57 <p>Well explained 👍</p>

59 <h3>Problem 4</h3>

58 <h3>Problem 4</h3>

60 <p>A gardener plants flowers every 6 days and shrubs every 20 days. When will he plant both on the same day?</p>

59 <p>A gardener plants flowers every 6 days and shrubs every 20 days. When will he plant both on the same day?</p>

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

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

62 <p>He will plant both on the same day in 60 days. </p>

61 <p>He will plant both on the same day in 60 days. </p>

63 <h3>Explanation</h3>

62 <h3>Explanation</h3>

64 <p> The gardener plants flowers every 6 days and shrubs every 20 days. The smallest number both 6 and 20 divide into evenly is 60. </p>

63 <p> The gardener plants flowers every 6 days and shrubs every 20 days. The smallest number both 6 and 20 divide into evenly is 60. </p>

65 <p>Well explained 👍</p>

64 <p>Well explained 👍</p>

66 <h3>Problem 5</h3>

65 <h3>Problem 5</h3>

67 <p>Lily saves 6 coins each week, while Jack saves 20 coins. When will they have the same total savings?</p>

66 <p>Lily saves 6 coins each week, while Jack saves 20 coins. When will they have the same total savings?</p>

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

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

69 <p>Lily and Jack will have the same total savings after 60 weeks. </p>

68 <p>Lily and Jack will have the same total savings after 60 weeks. </p>

70 <h3>Explanation</h3>

69 <h3>Explanation</h3>

71 <p>After 60 weeks, Lily saves 360 coins (6 × 60), and Jack saves 400 coins (20 × 20). The total savings will match at 60 weeks. </p>

70 <p>After 60 weeks, Lily saves 360 coins (6 × 60), and Jack saves 400 coins (20 × 20). The total savings will match at 60 weeks. </p>

72 <p>Well explained 👍</p>

71 <p>Well explained 👍</p>

73 <h2>FAQs For LCM Of 6 And 20</h2>

72 <h2>FAQs For LCM Of 6 And 20</h2>

74 <h3>1.What is the LCM of 6 and 20?</h3>

73 <h3>1.What is the LCM of 6 and 20?</h3>

75 <p>The multiples of 6 are 6, 12, 18, 24, 30, 36, etc.; the multiples of 20 are 20, 40, and 60, the smallest common one is 60. </p>

74 <p>The multiples of 6 are 6, 12, 18, 24, 30, 36, etc.; the multiples of 20 are 20, 40, and 60, the smallest common one is 60. </p>

76 <h3>2.What is the first common multiple of 6 and 20?</h3>

75 <h3>2.What is the first common multiple of 6 and 20?</h3>

77 <p>The first common multiple is 60; it's the smallest number that 3 and 15 can both divide evenly without any leftovers. </p>

76 <p>The first common multiple is 60; it's the smallest number that 3 and 15 can both divide evenly without any leftovers. </p>

78 <h3>3.How can I check if 60 is the LCM of 6 and 20?</h3>

77 <h3>3.How can I check if 60 is the LCM of 6 and 20?</h3>

79 <p>You can check by dividing 60 by both 6 and 20. Since 60 is divisible by both, it confirms it is the LCM. </p>

78 <p>You can check by dividing 60 by both 6 and 20. Since 60 is divisible by both, it confirms it is the LCM. </p>

80 <h3>4.What is the LCM of 6,16,20 and 22?</h3>

79 <h3>4.What is the LCM of 6,16,20 and 22?</h3>

81 <p>You can check by dividing 60 by both 6 and 20. Since 60 is divisible by both, it confirms it is the LCM. </p>

80 <p>You can check by dividing 60 by both 6 and 20. Since 60 is divisible by both, it confirms it is the LCM. </p>

82 <h3>5.What is the LCM of 6,16,20 and 22?</h3>

81 <h3>5.What is the LCM of 6,16,20 and 22?</h3>

83 <p> The Least Common Multiple (LCM) of 6, 16, 20, and 22 is 2640. This is the smallest number divisible by all four given numbers. </p>

82 <p> The Least Common Multiple (LCM) of 6, 16, 20, and 22 is 2640. This is the smallest number divisible by all four given numbers. </p>

84 <h2>Important Glossaries for LCM of 6 and 20</h2>

83 <h2>Important Glossaries for LCM of 6 and 20</h2>

85 <ul><li><strong>Multiple:</strong>A number that is created by multiplying a given number by an integer. For example, the multiples of 6 are 6, 12, 18, and so on.</li>

84 <ul><li><strong>Multiple:</strong>A number that is created by multiplying a given number by an integer. For example, the multiples of 6 are 6, 12, 18, and so on.</li>

86 </ul><ul><li><strong>Prime Factor</strong>: A number that can only be divided by itself and 1. For example, 2, 3, 5, and 7 are prime numbers.</li>

85 </ul><ul><li><strong>Prime Factor</strong>: A number that can only be divided by itself and 1. For example, 2, 3, 5, and 7 are prime numbers.</li>

87 </ul><ul><li><strong>Prime Factorization:</strong>The process of breaking a number down into its prime factors. For example, 20 can be broken down into 2 × 2 × 5.</li>

86 </ul><ul><li><strong>Prime Factorization:</strong>The process of breaking a number down into its prime factors. For example, 20 can be broken down into 2 × 2 × 5.</li>

88 </ul><ul><li><strong>Divisibility:</strong>The ability of one number to be divided by another without leaving a remainder. For example, 20 is divisible by 5 because 20 ÷ 5 = 4.</li>

87 </ul><ul><li><strong>Divisibility:</strong>The ability of one number to be divided by another without leaving a remainder. For example, 20 is divisible by 5 because 20 ÷ 5 = 4.</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>