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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 both 4 and 9. LCM can be solved using listing multiples method, prime factorization or division methods. Unknowingly, we use LCM in scheduling alarms for clocks or the movement of gears in cars.</p>

4 <h2>What is the LCM of 4 and 9?</h2>

5 <h2>How to Find the LCM of 4 and 9?</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 4 and 9 using the Listing Multiples Method</h2>

8 <p>The LCM of 4 and 9 can be calculated using the following steps:</p>

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

10 <p>Multiples of 4 = 4,8,12,16,20,24,28,32,36,…</p>

11 <p>Multiples of 9 = 9,18,27,36,…</p>

12 <p><strong>Step 2:</strong>Ascertain the smallest multiple from the listed multiples:</p>

13 <p>The smallest<a>common multiple</a>is 36.</p>

14 <p>Thus, LCM(4,9) = 36.</p>

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17 <h3>LCM of 4 and 9 using the Prime Factorization Method</h3>

16 <h3>LCM of 4 and 9 using the Prime Factorization Method</h3>

18 <p>The prime<a>factors</a>of each number are written, and then the highest<a>power</a>of the prime factors is multiplied to get the LCM.</p>

17 <p>The prime<a>factors</a>of each number are written, and then the highest<a>power</a>of the prime factors is multiplied to get the LCM.</p>

19 <p>Step 1: Find the prime factors of each number:</p>

18 <p>Step 1: Find the prime factors of each number:</p>

20 <p>Prime factorization of 4 = 2×2</p>

19 <p>Prime factorization of 4 = 2×2</p>

21 <p>Prime factorization of 9 = 3 × 3</p>

20 <p>Prime factorization of 9 = 3 × 3</p>

22 <p>Step 2:Take the highest powers of each prime factor =2×2×3×3</p>

21 <p>Step 2:Take the highest powers of each prime factor =2×2×3×3</p>

23 <p>Step 3: Multiply the highest powers to get the LCM:</p>

22 <p>Step 3: Multiply the highest powers to get the LCM:</p>

24 <p>LCM(4, 9) =2×2×3×3 = 36. </p>

23 <p>LCM(4, 9) =2×2×3×3 = 36. </p>

25 <h3>LCM of 4 and 9 using the Division Method</h3>

24 <h3>LCM of 4 and 9 using the Division Method</h3>

26 <p>This method involves dividing both numbers by their common prime factors and multiplying the divisors to find the LCM.</p>

25 <p>This method involves dividing both numbers by their common prime factors and multiplying the divisors to find the LCM.</p>

27 <p>Step 1: Write the numbers, divide by common prime factors and multiply the divisors.</p>

26 <p>Step 1: Write the numbers, divide by common prime factors and multiply the divisors.</p>

28 <p>Step 2: repeat untill we get 1 as<a>remainder</a>.</p>

27 <p>Step 2: repeat untill we get 1 as<a>remainder</a>.</p>

29 <p>Thus, LCM(4, 9) = 36. </p>

28 <p>Thus, LCM(4, 9) = 36. </p>

30 <h2>Common Mistakes and how to avoid them in LCM of 4 and 9</h2>

29 <h2>Common Mistakes and how to avoid them in LCM of 4 and 9</h2>

31 <p>Listed below are a few commonly made mistakes while attempting to ascertain the LCM of 4 and 9 make a note while practicing. </p>

30 <p>Listed below are a few commonly made mistakes while attempting to ascertain the LCM of 4 and 9 make a note while practicing. </p>

32 <h3>Problem 1</h3>

31 <h3>Problem 1</h3>

33 <p>LCM of a and b is 36. a=4, find b.</p>

32 <p>LCM of a and b is 36. a=4, find b.</p>

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

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

35 <p>LCM(a,b)=a ×b/HCF(a,b)</p>

34 <p>LCM(a,b)=a ×b/HCF(a,b)</p>

36 <p>36 = 4 ×b/1 </p>

35 <p>36 = 4 ×b/1 </p>

37 <p>b = 9 </p>

36 <p>b = 9 </p>

38 <h3>Explanation</h3>

37 <h3>Explanation</h3>

39 <p>By following the above we find what the other number, b is. In the given question, it is 9. </p>

38 <p>By following the above we find what the other number, b is. In the given question, it is 9. </p>

40 <p>Well explained 👍</p>

39 <p>Well explained 👍</p>

41 <h3>Problem 2</h3>

40 <h3>Problem 2</h3>

42 <p>The LCM of a and b is 36 and their HCF is 1. Find their product.</p>

41 <p>The LCM of a and b is 36 and their HCF is 1. Find their product.</p>

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

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

44 <p>We can find the product by using the formula → LCM(a,b) ×HCF(a,b) = a ×b</p>

43 <p>We can find the product by using the formula → LCM(a,b) ×HCF(a,b) = a ×b</p>

45 <p>a ×b = 36 ×1 </p>

44 <p>a ×b = 36 ×1 </p>

46 <p>= 36 </p>

45 <p>= 36 </p>

47 <h3>Explanation</h3>

46 <h3>Explanation</h3>

48 <p>The product of two numbers in 36, as verified above. </p>

47 <p>The product of two numbers in 36, as verified above. </p>

49 <p>Well explained 👍</p>

48 <p>Well explained 👍</p>

50 <h3>Problem 3</h3>

49 <h3>Problem 3</h3>

51 <p>In a neighborhood park, the fountain show is turned on every 4 minutes, and the light show every 9 minutes. If both the shows are turned on at the same time, when will they next be turned on together again?</p>

50 <p>In a neighborhood park, the fountain show is turned on every 4 minutes, and the light show every 9 minutes. If both the shows are turned on at the same time, when will they next be turned on together again?</p>

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

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

53 <p>The LCM of 4 and 9 is 36. </p>

52 <p>The LCM of 4 and 9 is 36. </p>

54 <h3>Explanation</h3>

53 <h3>Explanation</h3>

55 <p>Both the shows will turn on at the same time in 36 minutes. The LCM of 4 and 9 is 36, which is the smallest common time interval for the given digits. </p>

54 <p>Both the shows will turn on at the same time in 36 minutes. The LCM of 4 and 9 is 36, which is the smallest common time interval for the given digits. </p>

56 <p>Well explained 👍</p>

55 <p>Well explained 👍</p>

57 <h2>FAQs on LCM of 4 and 9</h2>

56 <h2>FAQs on LCM of 4 and 9</h2>

58 <h3>1.What is the LCM of 4,9 and 10?</h3>

57 <h3>1.What is the LCM of 4,9 and 10?</h3>

59 <p>List the prime factors of the numbers;</p>

58 <p>List the prime factors of the numbers;</p>

60 <p>Prime factorization of 4 = 2×2 </p>

59 <p>Prime factorization of 4 = 2×2 </p>

61 <p>Prime factorization of 9 = 3×3 </p>

60 <p>Prime factorization of 9 = 3×3 </p>

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

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

63 <p>Multiply the highest powers of the numbers </p>

62 <p>Multiply the highest powers of the numbers </p>

64 <p>LCM (4,9,10) = 180</p>

63 <p>LCM (4,9,10) = 180</p>

65 <h3>2. What is the LCM of 4,9 and 11?</h3>

64 <h3>2. What is the LCM of 4,9 and 11?</h3>

66 <p>List the prime factors of the numbers;</p>

65 <p>List the prime factors of the numbers;</p>

67 <p>Prime factorization of 4 = 2×2 </p>

66 <p>Prime factorization of 4 = 2×2 </p>

68 <p>Prime factorization of 9 = 3×3 </p>

67 <p>Prime factorization of 9 = 3×3 </p>

69 <p>Prime factorization of 11 = 11</p>

68 <p>Prime factorization of 11 = 11</p>

70 <p>Multiply the highest powers of the numbers </p>

69 <p>Multiply the highest powers of the numbers </p>

71 <p>LCM (4,9,11) = 396 </p>

70 <p>LCM (4,9,11) = 396 </p>

72 <h3>3.Are 4 and 9 co-prime numbers?</h3>

71 <h3>3.Are 4 and 9 co-prime numbers?</h3>

73 <h3>4.What is the HCF of 4 and 9?</h3>

72 <h3>4.What is the HCF of 4 and 9?</h3>

74 <p>Factors of 4 = 1,2,4</p>

73 <p>Factors of 4 = 1,2,4</p>

75 <p>Factors of 9 = 1,3,9</p>

74 <p>Factors of 9 = 1,3,9</p>

76 <p>There are no common factors between 4 and 9. The HCF of the numbers is 1. </p>

75 <p>There are no common factors between 4 and 9. The HCF of the numbers is 1. </p>

77 <h3>5.What is the LCM of 4,7 and 9?</h3>

76 <h3>5.What is the LCM of 4,7 and 9?</h3>

78 <p>List the prime factors of the numbers;</p>

77 <p>List the prime factors of the numbers;</p>

79 <p>Prime factorization of 4 = 2×2 </p>

78 <p>Prime factorization of 4 = 2×2 </p>

80 <p>Prime factorization of 9 = 3×3 </p>

79 <p>Prime factorization of 9 = 3×3 </p>

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

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

82 <p>Multiply the highest powers of the numbers </p>

81 <p>Multiply the highest powers of the numbers </p>

83 <p>LCM (4,7,9) = 252 </p>

82 <p>LCM (4,7,9) = 252 </p>

84 <h2>Important glossaries for the LCM of 4 and 9</h2>

83 <h2>Important glossaries for the LCM of 4 and 9</h2>

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

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

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

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

87 </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>

86 </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>

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

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

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

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

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

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

91 <p>▶</p>

90 <p>▶</p>

92 <h2>Hiralee Lalitkumar Makwana</h2>

91 <h2>Hiralee Lalitkumar Makwana</h2>

93 <h3>About the Author</h3>

92 <h3>About the Author</h3>

94 <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>

93 <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>

95 <h3>Fun Fact</h3>

94 <h3>Fun Fact</h3>

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

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