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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 is divisible by the numbers 20 and 25. LCM helps to solve problems with fractions and scenarios like setting an alarm or planning to align events.</p>

4 <h2>What is the LCM of 20 and 25?</h2>

5 <h2>How to find the LCM of 20 and 25 ?</h2>

6 <p>There are various methods to find the LCM, Listing method,<a>prime factorization</a>method and<a>division</a>method are explained below; </p>

7 <h2>LCM of 20 and 25 using the Listing multiples method</h2>

8 <p>To ascertain the LCM, list the multiples of the<a>integers</a>until a<a>common multiple</a>is found. </p>

9 <p><strong>Step 1:</strong>Writedown the multiples of each number: </p>

10 <p>Multiples of 20 = 20,40,60,80,100,…</p>

11 <p>Multiples of 25 = 25,50,75,100,…</p>

12 <p><strong>Step 2: </strong>Ascertain the smallest multiple from the listed multiples of 20 and 25. </p>

13 <p>The LCM (Least common multiple) of 20 and 25 is 100.<a>i</a>.e.,100 is divisible by 20 and 25 with no reminder. </p>

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16 <h3>LCM of 20 and 25 using the Prime Factorization</h3>

15 <h3>LCM of 20 and 25 using the Prime Factorization</h3>

17 <p>This method involves finding the prime<a>factors</a>of each number and then multiplying the highest<a>power</a>of the prime factors to get the LCM.</p>

16 <p>This method involves finding the prime<a>factors</a>of each number and then multiplying the highest<a>power</a>of the prime factors to get the LCM.</p>

18 <p><strong>Step 1: </strong>Find the prime factors of the numbers:</p>

17 <p><strong>Step 1: </strong>Find the prime factors of the numbers:</p>

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

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

20 <p>Prime factorization of 25 = 5×5</p>

19 <p>Prime factorization of 25 = 5×5</p>

21 <p><strong>Step 2:</strong>Take the highest power of each prime factor and multiply the ascertained factors to get the LCM: LCM (20,25) = 100</p>

20 <p><strong>Step 2:</strong>Take the highest power of each prime factor and multiply the ascertained factors to get the LCM: LCM (20,25) = 100</p>

22 <h3>LCM of 20 and 25 using the Division Method</h3>

21 <h3>LCM of 20 and 25 using the Division Method</h3>

23 <p>The Division Method involves dividing the numbers by their prime factors and multiplying the divisors to get the LCM. </p>

22 <p>The Division Method involves dividing the numbers by their prime factors and multiplying the divisors to get the LCM. </p>

24 <p><strong>Step 1: </strong>Write down the numbers in a row;</p>

23 <p><strong>Step 1: </strong>Write down the numbers in a row;</p>

25 <p> <strong>Step 2:</strong>Divide the row of numbers by a<a>prime number</a>that is evenly divisible into at least one of the given numbers. </p>

24 <p> <strong>Step 2:</strong>Divide the row of numbers by a<a>prime number</a>that is evenly divisible into at least one of the given numbers. </p>

26 <p><strong>Step 3:</strong>Continue dividing the numbers until the last row of the results is ‘1’ and bring down the numbers not divisible by the previously chosen prime number.</p>

25 <p><strong>Step 3:</strong>Continue dividing the numbers until the last row of the results is ‘1’ and bring down the numbers not divisible by the previously chosen prime number.</p>

27 <p> <strong>Step 4</strong>The LCM of the numbers is the<a>product</a>of the prime numbers in the first column, i.e., LCM (20,25) = 100</p>

26 <p> <strong>Step 4</strong>The LCM of the numbers is the<a>product</a>of the prime numbers in the first column, i.e., LCM (20,25) = 100</p>

28 <h2>Common Mistakes and how to avoid them while finding the LCM of 20 and 25</h2>

27 <h2>Common Mistakes and how to avoid them while finding the LCM of 20 and 25</h2>

29 <p>Listed below are a few commonly made mistakes while attempting to ascertain the LCM of 20 and 25, make a note while practicing. </p>

28 <p>Listed below are a few commonly made mistakes while attempting to ascertain the LCM of 20 and 25, make a note while practicing. </p>

30 <h3>Problem 1</h3>

29 <h3>Problem 1</h3>

31 <p>LCM (15,20,25) = x. Find the smallest positive integer (n), where n×x is a multiple of 60.</p>

30 <p>LCM (15,20,25) = x. Find the smallest positive integer (n), where n×x is a multiple of 60.</p>

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

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

33 <p>LCM (15,20,25) = x </p>

32 <p>LCM (15,20,25) = x </p>

34 <p>We ascertained the LCM of 15,20,25 from the previous calculations. </p>

33 <p>We ascertained the LCM of 15,20,25 from the previous calculations. </p>

35 <p>LCM (15,20,25) = 300 </p>

34 <p>LCM (15,20,25) = 300 </p>

36 <p>n is;</p>

35 <p>n is;</p>

37 <p>n×300 is a multiple of 60</p>

36 <p>n×300 is a multiple of 60</p>

38 <p>Te same can be rearranged as;</p>

37 <p>Te same can be rearranged as;</p>

39 <p>n×300 = k×60, for some integer k </p>

38 <p>n×300 = k×60, for some integer k </p>

40 <p>Divide both the sides 60; </p>

39 <p>Divide both the sides 60; </p>

41 <p>n×5 = k</p>

40 <p>n×5 = k</p>

42 <p>n×5 = k implies that n is to be a multiple of 12, 300/60 = 5 and n to be a multiple of 1/5. </p>

41 <p>n×5 = k implies that n is to be a multiple of 12, 300/60 = 5 and n to be a multiple of 1/5. </p>

43 <p>Smallest n = 12.</p>

42 <p>Smallest n = 12.</p>

44 <h3>Explanation</h3>

43 <h3>Explanation</h3>

45 <p> n is 12, as elaborated above. It satisfies the condition laid the smallest positive integer (n), where n×x is a multiple of 60.</p>

44 <p> n is 12, as elaborated above. It satisfies the condition laid the smallest positive integer (n), where n×x is a multiple of 60.</p>

46 <p>Well explained 👍</p>

45 <p>Well explained 👍</p>

47 <h3>Problem 2</h3>

46 <h3>Problem 2</h3>

48 <p>LCM of 20 and x is 100. Find x.</p>

47 <p>LCM of 20 and x is 100. Find x.</p>

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

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

50 <p>LCM(20,x) = 100</p>

49 <p>LCM(20,x) = 100</p>

51 <p>LCM(a,b)=a×b/HCF(a,b)</p>

50 <p>LCM(a,b)=a×b/HCF(a,b)</p>

52 <p>Let x be; </p>

51 <p>Let x be; </p>

53 <p>LCM(20,x) = 20×x/HCF(20,x) = 100</p>

52 <p>LCM(20,x) = 20×x/HCF(20,x) = 100</p>

54 <p>Let’s analyze x as; </p>

53 <p>Let’s analyze x as; </p>

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

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

56 <p>Prime factorization of 100 = 5×5×2×2</p>

55 <p>Prime factorization of 100 = 5×5×2×2</p>

57 <p>For the LCM to be 100, x should contribute 22 and 52 to the LCM; </p>

56 <p>For the LCM to be 100, x should contribute 22 and 52 to the LCM; </p>

58 <p>x could be 5, to suffice for 52 in the prime factorization.</p>

57 <p>x could be 5, to suffice for 52 in the prime factorization.</p>

59 <p>Let us now verify the above assumption; </p>

58 <p>Let us now verify the above assumption; </p>

60 <p>LCM(20,25) =100 </p>

59 <p>LCM(20,25) =100 </p>

61 <h3>Explanation</h3>

60 <h3>Explanation</h3>

62 <p> After the above verification, we can say that the missing number is 25. </p>

61 <p> After the above verification, we can say that the missing number is 25. </p>

63 <p>Well explained 👍</p>

62 <p>Well explained 👍</p>

64 <h3>Problem 3</h3>

63 <h3>Problem 3</h3>

65 <p>What is the smallest number that is divisible by both 20 and 25?</p>

64 <p>What is the smallest number that is divisible by both 20 and 25?</p>

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

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

67 <p>The LCM of 20 and 25 as obtained earlier is 100. </p>

66 <p>The LCM of 20 and 25 as obtained earlier is 100. </p>

68 <h3>Explanation</h3>

67 <h3>Explanation</h3>

69 <p>The LCM is the smallest number divisible by the given numbers. In the case of 20 and 25, the smallest number that is divisible by them both is 100. </p>

68 <p>The LCM is the smallest number divisible by the given numbers. In the case of 20 and 25, the smallest number that is divisible by them both is 100. </p>

70 <p>Well explained 👍</p>

69 <p>Well explained 👍</p>

71 <h2>FAQ’s on LCM of 20 and 25</h2>

70 <h2>FAQ’s on LCM of 20 and 25</h2>

72 <h3>1.What is the LCM of 15,20 and 25?</h3>

71 <h3>1.What is the LCM of 15,20 and 25?</h3>

73 <p>Prime factorization of 15 = 5×3</p>

72 <p>Prime factorization of 15 = 5×3</p>

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

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

75 <p>Prime factorization of 25 = 5×5</p>

74 <p>Prime factorization of 25 = 5×5</p>

76 <p>LCM (!5,20,25) = 300 </p>

75 <p>LCM (!5,20,25) = 300 </p>

77 <h3>2.Is 25 the LCM of 5 and 20?</h3>

76 <h3>2.Is 25 the LCM of 5 and 20?</h3>

78 <p>Prime factorization of 5 = 5</p>

77 <p>Prime factorization of 5 = 5</p>

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

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

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

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

81 <p>No, 25 is not the LCM of 5 and 20. </p>

80 <p>No, 25 is not the LCM of 5 and 20. </p>

82 <h3>3.What is the LCM of 10 and 25?</h3>

81 <h3>3.What is the LCM of 10 and 25?</h3>

83 <p>Prime factorization of 10 = 2×5</p>

82 <p>Prime factorization of 10 = 2×5</p>

84 <p>Prime factorization of 25 = 5×5</p>

83 <p>Prime factorization of 25 = 5×5</p>

85 <p>LCM(10,25) = 50 </p>

84 <p>LCM(10,25) = 50 </p>

86 <h3>4.What is the LCM 7 and 25?</h3>

85 <h3>4.What is the LCM 7 and 25?</h3>

87 <p>Prime factorization of 7 = 7 </p>

86 <p>Prime factorization of 7 = 7 </p>

88 <p>Prime factorization of 25 = 5×5</p>

87 <p>Prime factorization of 25 = 5×5</p>

89 <p>LCM(7,25) = 175 </p>

88 <p>LCM(7,25) = 175 </p>

90 <h3>5.What is the LCM of 6 and 25?</h3>

89 <h3>5.What is the LCM of 6 and 25?</h3>

91 <p>Prime factorization of 6 = 2×3</p>

90 <p>Prime factorization of 6 = 2×3</p>

92 <p>Prime factorization of 25 = 5×5</p>

91 <p>Prime factorization of 25 = 5×5</p>

93 <p>LCM (6,25) = 150 </p>

92 <p>LCM (6,25) = 150 </p>

94 <h2>Important glossaries for LCM of 20 and 25</h2>

93 <h2>Important glossaries for LCM of 20 and 25</h2>

95 <ul><li><strong>Multiple:</strong>A number and any integer multiplied. </li>

94 <ul><li><strong>Multiple:</strong>A number and any integer multiplied. </li>

96 </ul><ul><li><strong>Prime Factor:</strong>A natural number (other than 1) that has factors that are one and itself.</li>

95 </ul><ul><li><strong>Prime Factor:</strong>A natural number (other than 1) that has factors that are one and itself.</li>

97 </ul><ul><li><strong>Prime Factorization:</strong>The process of breaking down a number into its prime factors is called Prime Factorization. </li>

96 </ul><ul><li><strong>Prime Factorization:</strong>The process of breaking down a number into its prime factors is called Prime Factorization. </li>

98 </ul><ul><li><strong>Co-prime numbers:</strong>When the only positive integer that is a divisor of them both is 1, a number is co-prime. </li>

97 </ul><ul><li><strong>Co-prime numbers:</strong>When the only positive integer that is a divisor of them both is 1, a number is co-prime. </li>

99 </ul><ul><li><strong>Relatively Prime Numbers:</strong>Numbers that have no common factors other than 1.</li>

98 </ul><ul><li><strong>Relatively Prime Numbers:</strong>Numbers that have no common factors other than 1.</li>

100 </ul><ul><li><strong>Fraction:</strong>A representation of a part of a whole.</li>

99 </ul><ul><li><strong>Fraction:</strong>A representation of a part of a whole.</li>

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

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

102 <p>▶</p>

101 <p>▶</p>

103 <h2>Hiralee Lalitkumar Makwana</h2>

102 <h2>Hiralee Lalitkumar Makwana</h2>

104 <h3>About the Author</h3>

103 <h3>About the Author</h3>

105 <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>

104 <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>

106 <h3>Fun Fact</h3>

105 <h3>Fun Fact</h3>

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

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