Rivalry2

HTML Diff

1 added 2 removed

Original 2026-01-01

Modified 2026-02-28

1 - <p>320 Learners</p>

1 + <p>358 Learners</p>

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

3 <p>The smallest positive integer that divides the numbers with no numbers left behind is the LCM of 14 and 22. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music. In this article, let’s now learn to find LCMs of 14 and 22.</p>

4 <h2>What is LCM of 14 and 22</h2>

5 <p>We can find the LCM using listing<a>multiples</a>method,<a>prime factorization</a>method and the<a>long division</a>method. These methods are explained here, apply a method that fits your understanding well. </p>

6 <h3>LCM of 14 and 22 using listing multiples method</h3>

7 <p><strong>Step 1:</strong>List the multiples<a>of</a>each of the<a>numbers</a>;</p>

8 <p> 14 = 14,28,42,56,70,84,98,112,126,140,154…</p>

9 <p>22 = 22,44,66,88,110,132,154,…</p>

10 <p><strong>Step 2:</strong>Find the smallest number in both the lists </p>

11 <p>LCM (14,22) = 154 </p>

12 <h3>LCM of 14 and 22 using prime factorization method</h3>

13 <p><strong>Step 1:</strong>Prime factorize the numbers </p>

14 <p>14 = 2×7</p>

15 <p>22= 11×2 </p>

16 <p><strong>Step 2:</strong>find highest<a>powers</a></p>

17 <p><strong>Step 3:</strong>Multiply the highest powers of the numbers</p>

18 <p>LCM(14,22) = 154 </p>

19 <h3>Explore Our Programs</h3>

20 - <p>No Courses Available</p>

21 <h3>LCM of 14 and 22 using division method</h3>

20 <h3>LCM of 14 and 22 using division method</h3>

22 <ul><li>Write the numbers in a row </li>

21 <ul><li>Write the numbers in a row </li>

23 </ul><ul><li>Divide them with a common prime<a>factor</a></li>

22 </ul><ul><li>Divide them with a common prime<a>factor</a></li>

24 </ul><ul><li>Carry forward numbers that are left undivided </li>

23 </ul><ul><li>Carry forward numbers that are left undivided </li>

25 </ul><ul><li>Continue dividing until the<a>remainder</a>is ‘1’ </li>

24 </ul><ul><li>Continue dividing until the<a>remainder</a>is ‘1’ </li>

26 </ul><ul><li>Multiply the divisors to find the LCM</li>

25 </ul><ul><li>Multiply the divisors to find the LCM</li>

27 </ul><ul><li>LCM (14,22) = 154 </li>

26 </ul><ul><li>LCM (14,22) = 154 </li>

28 </ul><h2>Common mistakes and how to avoid them in LCM of 14 and 22</h2>

27 </ul><h2>Common mistakes and how to avoid them in LCM of 14 and 22</h2>

29 <p>Listed here are a few mistakes children may make when trying to find the LCM due to confusion or due to unclear understanding. Be mindful, understand, learn and avoid! </p>

28 <p>Listed here are a few mistakes children may make when trying to find the LCM due to confusion or due to unclear understanding. Be mindful, understand, learn and avoid! </p>

30 <h3>Problem 1</h3>

29 <h3>Problem 1</h3>

31 <p>Two numbers have an LCM of 154. One of the numbers is 14. Find the missing number.</p>

30 <p>Two numbers have an LCM of 154. One of the numbers is 14. Find the missing number.</p>

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

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

33 <p>Let the missing number be x</p>

32 <p>Let the missing number be x</p>

34 <p>We know:</p>

33 <p>We know:</p>

35 <p>LCM(14,x)=154</p>

34 <p>LCM(14,x)=154</p>

36 <p>Since the LCM of 14 and 22 is 154, x=22</p>

35 <p>Since the LCM of 14 and 22 is 154, x=22</p>

37 <h3>Explanation</h3>

36 <h3>Explanation</h3>

38 <p>The LCM remains the same when the two numbers involved are 14 and 22, which confirms that the missing number is 22. </p>

37 <p>The LCM remains the same when the two numbers involved are 14 and 22, which confirms that the missing number is 22. </p>

39 <p>Well explained 👍</p>

38 <p>Well explained 👍</p>

40 <h3>Problem 2</h3>

39 <h3>Problem 2</h3>

41 <p>Let A={x∈Z:x is a multiple of 14} and B={x∈Z:x is a multiple of 22}B. Find the least positive integer in A∩B.</p>

40 <p>Let A={x∈Z:x is a multiple of 14} and B={x∈Z:x is a multiple of 22}B. Find the least positive integer in A∩B.</p>

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

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

43 <p>The least positive integer in A∩B is the LCM of 14 and 22, which is 154. </p>

42 <p>The least positive integer in A∩B is the LCM of 14 and 22, which is 154. </p>

44 <h3>Explanation</h3>

43 <h3>Explanation</h3>

45 <p>The intersection of sets A and B contains all numbers that are multiples of both 14 and 22. The smallest such number is their LCM. </p>

44 <p>The intersection of sets A and B contains all numbers that are multiples of both 14 and 22. The smallest such number is their LCM. </p>

46 <p>Well explained 👍</p>

45 <p>Well explained 👍</p>

47 <h3>Problem 3</h3>

46 <h3>Problem 3</h3>

48 <p>Find the LCM of the fractions 14/22 and 22/14 .</p>

47 <p>Find the LCM of the fractions 14/22 and 22/14 .</p>

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

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

50 <p>The LCM of two fractions is given by the formula:</p>

49 <p>The LCM of two fractions is given by the formula:</p>

51 <p>LCM(a/b, c/d)=LCM(a, c)/GCD(b, d)</p>

50 <p>LCM(a/b, c/d)=LCM(a, c)/GCD(b, d)</p>

52 <p>Here:</p>

51 <p>Here:</p>

53 <p>a=14, b=22, c=22, d=14</p>

52 <p>a=14, b=22, c=22, d=14</p>

54 <p>LCM(14,22)=154,GCD(22,14)=2</p>

53 <p>LCM(14,22)=154,GCD(22,14)=2</p>

55 <p>Therefore:</p>

54 <p>Therefore:</p>

56 <p>LCM(14/22,22/14)=154/2=77 </p>

55 <p>LCM(14/22,22/14)=154/2=77 </p>

57 <h3>Explanation</h3>

56 <h3>Explanation</h3>

58 <p>The LCM of fractions uses both the LCM of the numerators and the GCD of the denominators to compute the result. </p>

57 <p>The LCM of fractions uses both the LCM of the numerators and the GCD of the denominators to compute the result. </p>

59 <p>Well explained 👍</p>

58 <p>Well explained 👍</p>

60 <h2>FAQs on the LCM of 14 and 22</h2>

59 <h2>FAQs on the LCM of 14 and 22</h2>

61 <h3>1.What is the GCF of 14 and 22?</h3>

60 <h3>1.What is the GCF of 14 and 22?</h3>

62 <h3>2.Find the LCM of 14 and 122.</h3>

61 <h3>2.Find the LCM of 14 and 122.</h3>

63 <h3>3.What is the LCM of 14 and 21?</h3>

62 <h3>3.What is the LCM of 14 and 21?</h3>

64 <p>The LCM of 14 and 21 is 42. </p>

63 <p>The LCM of 14 and 21 is 42. </p>

65 <h3>4.What is the LCM of 14 and 24?</h3>

64 <h3>4.What is the LCM of 14 and 24?</h3>

66 <p>The LCM of 14 and 24 is 168. We can apply any of the above discussed methods to find the same. </p>

65 <p>The LCM of 14 and 24 is 168. We can apply any of the above discussed methods to find the same. </p>

67 <h3>5. What is the LCM of 13 and 22?</h3>

66 <h3>5. What is the LCM of 13 and 22?</h3>

68 <p>The LCM of 13 and 22 is 286. </p>

67 <p>The LCM of 13 and 22 is 286. </p>

69 <h2>Important glossaries for LCM of 14 and 22</h2>

68 <h2>Important glossaries for LCM of 14 and 22</h2>

70 <ul><li><strong>Multiple:</strong>the result after multiplication of a number and an integer. To explain, 75×5 =375; 375 is a multiple of 75. </li>

69 <ul><li><strong>Multiple:</strong>the result after multiplication of a number and an integer. To explain, 75×5 =375; 375 is a multiple of 75. </li>

71 </ul><ul><li><strong>Prime Factor:</strong>A number with only two factors, 1 and the number. For example,7, its factors are only 1 and 7 and the number when divided by any other integer will leave a remainder behind. </li>

70 </ul><ul><li><strong>Prime Factor:</strong>A number with only two factors, 1 and the number. For example,7, its factors are only 1 and 7 and the number when divided by any other integer will leave a remainder behind. </li>

72 </ul><ul><li><strong>Prime Factorization:</strong>breaking a number down into its prime factors. For example, 60 is written as the product of 2×2×3×5. </li>

71 </ul><ul><li><strong>Prime Factorization:</strong>breaking a number down into its prime factors. For example, 60 is written as the product of 2×2×3×5. </li>

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

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

74 <p>▶</p>

73 <p>▶</p>

75 <h2>Hiralee Lalitkumar Makwana</h2>

74 <h2>Hiralee Lalitkumar Makwana</h2>

76 <h3>About the Author</h3>

75 <h3>About the Author</h3>

77 <p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>

76 <p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>

78 <h3>Fun Fact</h3>

77 <h3>Fun Fact</h3>

79 <p>: She loves to read number jokes and games.</p>

78 <p>: She loves to read number jokes and games.</p>