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

3 <p>LCM is a common multiple, the smallest value between the numbers 5 and 20. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music.</p>

4 <h2>What is the LCM of 5 and 20?</h2>

5 <h3>LCM of 5 and 20 Using Listing the Multiples</h3>

6 <p><strong>Step 1:</strong>Write down the multiples of the<a>numbers</a>. Don’t stop too early.</p>

7 <p>Multiples of 5 = 5,10,15,20,25,…</p>

8 <p>Multiples of 20 = 20,40,60,80…</p>

9 <p>Step 2: Find the smallest number common between the written multiples of 5 and 20</p>

10 <p>The smallest<a>common multiple</a>is 20</p>

11 <p>Thus, LCM(5,20) = 20 </p>

12 <h3>LCM of 5 and 20 Using Prime Factorization</h3>

13 <p><strong>Step 1:</strong>factorize the numbers into its prime<a>factors</a> </p>

14 <p> 5 = 5</p>

15 <p>20 = 2×2×5 </p>

16 <p><strong>Step 2:</strong> find the highest<a>powers</a>of the factors of 5 and 20</p>

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

18 <p>LCM(5,20) = 20</p>

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21 <h3>LCM of 5 and 20 Using Division Method</h3>

20 <h3>LCM of 5 and 20 Using Division Method</h3>

22 <ul><li>Write the numbers 5,20 in a row </li>

21 <ul><li>Write the numbers 5,20 in a row </li>

23 </ul><ul><li>Divide them by their common prime factors, if there is one</li>

22 </ul><ul><li>Divide them by their common prime factors, if there is one</li>

24 </ul><ul><li>Carry forward the numbers that are left undivided by the previously chosen factor</li>

23 </ul><ul><li>Carry forward the numbers that are left undivided by the previously chosen factor</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(5,20) = 20 </li>

26 </ul><ul><li>LCM(5,20) = 20 </li>

28 </ul><h2>Common Mistakes and how to avoid them while finding the LCM of 5 and 20</h2>

27 </ul><h2>Common Mistakes and how to avoid them while finding the LCM of 5 and 20</h2>

29 <p>Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 5 and 20. Try to avoid them. </p>

28 <p>Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 5 and 20. Try to avoid them. </p>

30 <h3>Problem 1</h3>

29 <h3>Problem 1</h3>

31 <p>Callie and Dan meet every 5 days and 20 days, respectively. They meet today, September 1, how many days will it be before they meet again?</p>

30 <p>Callie and Dan meet every 5 days and 20 days, respectively. They meet today, September 1, how many days will it be before they meet again?</p>

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

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

33 <p> Find the LCM of 5 and 20: LCM (5,20) = 20. </p>

32 <p> Find the LCM of 5 and 20: LCM (5,20) = 20. </p>

34 <h3>Explanation</h3>

33 <h3>Explanation</h3>

35 <p>They will meet again in 20 days. The LCM of 5 and 20 is the smallest common multiple of the digits. </p>

34 <p>They will meet again in 20 days. The LCM of 5 and 20 is the smallest common multiple of the digits. </p>

36 <p>Well explained 👍</p>

35 <p>Well explained 👍</p>

37 <h3>Problem 2</h3>

36 <h3>Problem 2</h3>

38 <p>Ascertain the smallest positive integer solution x to the equation given below, using the LCM of 5 and 20. x=0 (mod 5) and x=0 (mod 20)</p>

37 <p>Ascertain the smallest positive integer solution x to the equation given below, using the LCM of 5 and 20. x=0 (mod 5) and x=0 (mod 20)</p>

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

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

40 <p>Find the prime factors of the numbers: Prime factorization of 5 = 2</p>

39 <p>Find the prime factors of the numbers: Prime factorization of 5 = 2</p>

41 <p>Prime factorization of 20 = 2×2×5 </p>

40 <p>Prime factorization of 20 = 2×2×5 </p>

42 <p>- Take the highest power of each prime factor:</p>

41 <p>- Take the highest power of each prime factor:</p>

43 <p>- 2,2,5</p>

42 <p>- 2,2,5</p>

44 <p>- Multiply the ascertained factors to get the LCM: </p>

43 <p>- Multiply the ascertained factors to get the LCM: </p>

45 <p>LCM (5,12) = 2×2×5 = 20 </p>

44 <p>LCM (5,12) = 2×2×5 = 20 </p>

46 <p>x = 20 </p>

45 <p>x = 20 </p>

47 <h3>Explanation</h3>

46 <h3>Explanation</h3>

48 <p>The question asks to find the smallest x that is divisible by both 5 and 20, which essentially is just finding the least common multiple(LCM) of 5 and 20. </p>

47 <p>The question asks to find the smallest x that is divisible by both 5 and 20, which essentially is just finding the least common multiple(LCM) of 5 and 20. </p>

49 <p>Well explained 👍</p>

48 <p>Well explained 👍</p>

50 <h3>Problem 3</h3>

49 <h3>Problem 3</h3>

51 <p>If an integer x is divisible by 5 and 20, express x as a multiple of LCM of 5 and 20. Also, find x.</p>

50 <p>If an integer x is divisible by 5 and 20, express x as a multiple of LCM of 5 and 20. Also, find x.</p>

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

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

53 <p>x is divisible by both 5 and 20, so is must be a multiple of the LCM of the numbers. </p>

52 <p>x is divisible by both 5 and 20, so is must be a multiple of the LCM of the numbers. </p>

54 <p>LCM that was previously calculated is 20. </p>

53 <p>LCM that was previously calculated is 20. </p>

55 <p>Therefore, x = 20.n, for some integer n. </p>

54 <p>Therefore, x = 20.n, for some integer n. </p>

56 <h3>Explanation</h3>

55 <h3>Explanation</h3>

57 <p>The minimum value of x is ascertained when n=1, so the minimum value of x = 20. </p>

56 <p>The minimum value of x is ascertained when n=1, so the minimum value of x = 20. </p>

58 <p>Well explained 👍</p>

57 <p>Well explained 👍</p>

59 <h2>FAQ’s on the LCM of 5 and 20</h2>

58 <h2>FAQ’s on the LCM of 5 and 20</h2>

60 <h3>1.What is the LCM of 5,12 and 15?</h3>

59 <h3>1.What is the LCM of 5,12 and 15?</h3>

61 <p>60 is the smallest number that appears commonly on the lists of the numbers 5,12 and 15.</p>

60 <p>60 is the smallest number that appears commonly on the lists of the numbers 5,12 and 15.</p>

62 <p>LCM (5,12,15) = 60 </p>

61 <p>LCM (5,12,15) = 60 </p>

63 <h3>2.What is the HCF of 12 and 15?</h3>

62 <h3>2.What is the HCF of 12 and 15?</h3>

64 <p>HCF of 12 and 15 can be found by listing the factors of the numbers → finding the<a>largest common factor</a>from the list of numbers. </p>

63 <p>HCF of 12 and 15 can be found by listing the factors of the numbers → finding the<a>largest common factor</a>from the list of numbers. </p>

65 <p>Factors of 12 = 1,2,3,4,6,12</p>

64 <p>Factors of 12 = 1,2,3,4,6,12</p>

66 <p>Factors of 15 = 1,3,5,15 </p>

65 <p>Factors of 15 = 1,3,5,15 </p>

67 <p>HCF (12,15) = 3 </p>

66 <p>HCF (12,15) = 3 </p>

68 <h3>3.What is the LCM of 15 and 21?</h3>

67 <h3>3.What is the LCM of 15 and 21?</h3>

69 <p>LCM (15,21) = 105 </p>

68 <p>LCM (15,21) = 105 </p>

70 <p>105 is the smallest number that appears commonly on the lists of the numbers 15 and 21. </p>

69 <p>105 is the smallest number that appears commonly on the lists of the numbers 15 and 21. </p>

71 <h3>4.What is the LCM of 48 and 60?</h3>

70 <h3>4.What is the LCM of 48 and 60?</h3>

72 <p>240 is the smallest number that appears commonly on the lists of the numbers 48 and 60. </p>

71 <p>240 is the smallest number that appears commonly on the lists of the numbers 48 and 60. </p>

73 <p>LCM (48,60) = 240 </p>

72 <p>LCM (48,60) = 240 </p>

74 <h3>5.What is the LCM of 9 and 33?</h3>

73 <h3>5.What is the LCM of 9 and 33?</h3>

75 <p>LCM (9,33)= 99</p>

74 <p>LCM (9,33)= 99</p>

76 <p>99 is the smallest number that appears commonly on the lists of the numbers 9 and 33. </p>

75 <p>99 is the smallest number that appears commonly on the lists of the numbers 9 and 33. </p>

77 <h2>Important glossaries on the LCM of 5 and 20</h2>

76 <h2>Important glossaries on the LCM of 5 and 20</h2>

78 <ul><li><strong>Multiple -</strong>product of a number and a natural integer </li>

77 <ul><li><strong>Multiple -</strong>product of a number and a natural integer </li>

79 </ul><ul><li><strong>Prime factor -</strong>number one gets after prime factorization any given number </li>

78 </ul><ul><li><strong>Prime factor -</strong>number one gets after prime factorization any given number </li>

80 </ul><ul><li><strong>Prime factorization -</strong>the process of breaking the number into its prime factors. </li>

79 </ul><ul><li><strong>Prime factorization -</strong>the process of breaking the number into its prime factors. </li>

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

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

82 <p>▶</p>

81 <p>▶</p>

83 <h2>Hiralee Lalitkumar Makwana</h2>

82 <h2>Hiralee Lalitkumar Makwana</h2>

84 <h3>About the Author</h3>

83 <h3>About the Author</h3>

85 <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>

84 <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>

86 <h3>Fun Fact</h3>

85 <h3>Fun Fact</h3>

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

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