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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 3 and 8. 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 9 and 15?</h2>

5 <h3>LCM of 9 and 15 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 9 = 9,18,27,36,45,54,…</p>

8 <p>Multiples of 15 = 15,30,45,60,75,…</p>

9 <p><strong>Step 2:</strong>Find the smallest number common between the written multiples of 9 and 15</p>

10 <p>The smallest<a>common multiple</a>is 45</p>

11 <p>Thus, LCM(9,15) = 45 </p>

12 <h3>LCM of 9 and 15 Using Prime Factorization</h3>

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

14 <p>9 = 3×3</p>

15 <p>15 = 3×5</p>

16 <p><strong>Step 2:</strong>find the highest<a>powers</a>of the factors of 9 and 15</p>

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

18 <p>LCM(9,15) = 45</p>

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21 <h3>LCM of 9 and 15 Using Division Method</h3>

20 <h3>LCM of 9 and 15 Using Division Method</h3>

22 <ul><li>Write the numbers 9,15 in a row </li>

21 <ul><li>Write the numbers 9,15 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(9,15) = 45 </li>

26 </ul><ul><li>LCM(9,15) = 45 </li>

28 </ul><h2>Common Mistakes and how to avoid them while finding the LCM of 9 and 15</h2>

27 </ul><h2>Common Mistakes and how to avoid them while finding the LCM of 9 and 15</h2>

29 <p>Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 9 and 15. 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 9 and 15. Try to avoid them. </p>

30 <h3>Problem 1</h3>

29 <h3>Problem 1</h3>

31 <p>If the LCM of 9 and another number is 45, what is the other number?</p>

30 <p>If the LCM of 9 and another number is 45, what is the other number?</p>

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

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

33 <p>Prime factorization of 9: 9=32</p>

32 <p>Prime factorization of 9: 9=32</p>

34 <p>LCM = 45 = 32.×5</p>

33 <p>LCM = 45 = 32.×5</p>

35 <p>The other number must have 3 and 5 in its prime factorization, but not more than 31 to keep the LCM as 45. </p>

34 <p>The other number must have 3 and 5 in its prime factorization, but not more than 31 to keep the LCM as 45. </p>

36 <h3>Explanation</h3>

35 <h3>Explanation</h3>

37 <p>Therefore, the missing number is 15. </p>

36 <p>Therefore, the missing number is 15. </p>

38 <p>Well explained 👍</p>

37 <p>Well explained 👍</p>

39 <h3>Problem 2</h3>

38 <h3>Problem 2</h3>

40 <p>A company has meetings every 9 days and 15 days. If both the conference rooms are booked today, when will they next be booked together ?</p>

39 <p>A company has meetings every 9 days and 15 days. If both the conference rooms are booked today, when will they next be booked together ?</p>

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

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

42 <p> LCM(9,15) =45 </p>

41 <p> LCM(9,15) =45 </p>

43 <h3>Explanation</h3>

42 <h3>Explanation</h3>

44 <p>The conference rooms will be booked on the same day in 45 days again. The LCM expresses the smallest common time interval between the digits. </p>

43 <p>The conference rooms will be booked on the same day in 45 days again. The LCM expresses the smallest common time interval between the digits. </p>

45 <p>Well explained 👍</p>

44 <p>Well explained 👍</p>

46 <h3>Problem 3</h3>

45 <h3>Problem 3</h3>

47 <p>The ratio of the LCM of 9 and 15 to their GCF is what?</p>

46 <p>The ratio of the LCM of 9 and 15 to their GCF is what?</p>

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

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

49 <p>LCM(9,15)=45, GCF(9,15)=3</p>

48 <p>LCM(9,15)=45, GCF(9,15)=3</p>

50 <p>Ratio = LCM/GCF=45/3=15 </p>

49 <p>Ratio = LCM/GCF=45/3=15 </p>

51 <h3>Explanation</h3>

50 <h3>Explanation</h3>

52 <p>The ratio of the LCM of 9 and 15 to their GCF is 15. </p>

51 <p>The ratio of the LCM of 9 and 15 to their GCF is 15. </p>

53 <p>Well explained 👍</p>

52 <p>Well explained 👍</p>

54 <h2>FAQs on LCM of 9 and 15</h2>

53 <h2>FAQs on LCM of 9 and 15</h2>

55 <h3>1. What is the LCM of 9,12 and 15?</h3>

54 <h3>1. What is the LCM of 9,12 and 15?</h3>

56 <p>LCM (9,12,15) = 180. </p>

55 <p>LCM (9,12,15) = 180. </p>

57 <p>180 is the smallest number that appears commonly on the lists of the numbers 9,12 and 15. </p>

56 <p>180 is the smallest number that appears commonly on the lists of the numbers 9,12 and 15. </p>

58 <h3>2.What is the LCM of 8,9,10,15 and 20?</h3>

57 <h3>2.What is the LCM of 8,9,10,15 and 20?</h3>

59 <p>LCM (8,9,10,15,20) = 360 </p>

58 <p>LCM (8,9,10,15,20) = 360 </p>

60 <p>360 is the smallest number that appears commonly on the lists of the numbers 8,9,10,15 and 20. </p>

59 <p>360 is the smallest number that appears commonly on the lists of the numbers 8,9,10,15 and 20. </p>

61 <h3>3.What is the HCF of 9,15 and 24?</h3>

60 <h3>3.What is the HCF of 9,15 and 24?</h3>

62 <p>Factors of 9 are 1,3,9 </p>

61 <p>Factors of 9 are 1,3,9 </p>

63 <p>Factors of 15 are 1,3,5,15 </p>

62 <p>Factors of 15 are 1,3,5,15 </p>

64 <p>Factors of 24 are 1,2,3,4,6,8,12,24 </p>

63 <p>Factors of 24 are 1,2,3,4,6,8,12,24 </p>

65 <p>(9,15,24) = 3 </p>

64 <p>(9,15,24) = 3 </p>

66 <h3>4.What is the LCM of 9,15 and 24?</h3>

65 <h3>4.What is the LCM of 9,15 and 24?</h3>

67 <p>360 is the smallest number that is commonly on the lists of the numbers 9,15 and 24.</p>

66 <p>360 is the smallest number that is commonly on the lists of the numbers 9,15 and 24.</p>

68 <p>LCM (9,15,24)= 360 </p>

67 <p>LCM (9,15,24)= 360 </p>

69 <h3>5. Find the LCM of 9 and 15 using the prime factorization method.</h3>

68 <h3>5. Find the LCM of 9 and 15 using the prime factorization method.</h3>

70 <p>Prime factors of 9 =3×3 </p>

69 <p>Prime factors of 9 =3×3 </p>

71 <p>Prime factors of 15 = 3×5 </p>

70 <p>Prime factors of 15 = 3×5 </p>

72 <p>LCM (9,15) = 3×3×5 = 45 </p>

71 <p>LCM (9,15) = 3×3×5 = 45 </p>

73 <h2>Important glossaries on the LCM of 9 and 15</h2>

72 <h2>Important glossaries on the LCM of 9 and 15</h2>

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

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

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

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

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

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

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

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

78 <p>▶</p>

77 <p>▶</p>

79 <h2>Hiralee Lalitkumar Makwana</h2>

78 <h2>Hiralee Lalitkumar Makwana</h2>

80 <h3>About the Author</h3>

79 <h3>About the Author</h3>

81 <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>

80 <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>

82 <h3>Fun Fact</h3>

81 <h3>Fun Fact</h3>

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

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