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1 - <p>312 Learners</p>

1 + <p>335 Learners</p>

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

3 <p>LCM is a common multiple, the smallest value between the numbers 7 and 9. 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 7 and 9?</h2>

5 <h2>LCM of 7 and 9 Using Listing the Multiples</h2>

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 7 = 7, 14,21,28,35,42,49,56,63,70,…</p>

8 <p>Multiples of 9 = 9,18,27,36,45,54,63,…</p>

9 <p><strong>Step 2:</strong>Find the smallest number common between the written multiples of 3 and 8</p>

10 <p>The smallest<a>common multiple</a>is 63</p>

11 <p>Thus, LCM(7,9) = 63</p>

12 <h3>LCM of 7 and 9 Using Prime Factorization</h3>

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

14 <p>7 = 7×1</p>

15 <p>9 = 3×3</p>

16 <p><strong>Step 2: </strong>find the highest<a>powers</a>of the factors of 7 and 9</p>

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

18 <p>LCM(7,9) = 63</p>

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21 <h3>LCM of 7 and 9 Using Division Method</h3>

20 <h3>LCM of 7 and 9 Using Division Method</h3>

22 <ul><li>Write the numbers 7,9 in a row </li>

21 <ul><li>Write the numbers 7,9 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(7,9) = 63 </li>

26 </ul><ul><li>LCM(7,9) = 63 </li>

28 </ul><h2>Common Mistakes and how to avoid them while finding the LCM of 7 and 9</h2>

27 </ul><h2>Common Mistakes and how to avoid them while finding the LCM of 7 and 9</h2>

29 <p>Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 7 and 9. 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 7 and 9. Try to avoid them. </p>

30 <h3>Problem 1</h3>

29 <h3>Problem 1</h3>

31 <p>The LCM of 7 and 9 is 63. If the LCM increases by 20%, what is the new value?</p>

30 <p>The LCM of 7 and 9 is 63. If the LCM increases by 20%, what is the new value?</p>

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

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

33 <p>Increase = 20%×63=0.2×63=12.6</p>

32 <p>Increase = 20%×63=0.2×63=12.6</p>

34 <p>New LCM = 63+12.6=75.6 </p>

33 <p>New LCM = 63+12.6=75.6 </p>

35 <h3>Explanation</h3>

34 <h3>Explanation</h3>

36 <p> A 20% increase in the LCM of 63 results in 75.6. </p>

35 <p> A 20% increase in the LCM of 63 results in 75.6. </p>

37 <p>Well explained 👍</p>

36 <p>Well explained 👍</p>

38 <h3>Problem 2</h3>

37 <h3>Problem 2</h3>

39 <p>Simplify the fraction LCM(7,9)/GCF(7,9).</p>

38 <p>Simplify the fraction LCM(7,9)/GCF(7,9).</p>

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

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

41 <p>LCM(7,9)=63, GCF(7,9)=1</p>

40 <p>LCM(7,9)=63, GCF(7,9)=1</p>

42 <p>Simplified fraction: 63/1=63 </p>

41 <p>Simplified fraction: 63/1=63 </p>

43 <h3>Explanation</h3>

42 <h3>Explanation</h3>

44 <p>The LCM divided by the GCF gives the value of the LCM in this case. </p>

43 <p>The LCM divided by the GCF gives the value of the LCM in this case. </p>

45 <p>Well explained 👍</p>

44 <p>Well explained 👍</p>

46 <h3>Problem 3</h3>

45 <h3>Problem 3</h3>

47 <p>A car mechanic services a red car every 7 days and a blue car every 9 days. If the cars are serviced today, when will they be serviced next together?</p>

46 <p>A car mechanic services a red car every 7 days and a blue car every 9 days. If the cars are serviced today, when will they be serviced next together?</p>

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

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

49 <p>The LCM of 7 and 9 is 63. </p>

48 <p>The LCM of 7 and 9 is 63. </p>

50 <h3>Explanation</h3>

49 <h3>Explanation</h3>

51 <p>Both cars will be serviced again in 63 days. The LCM of 7 and 9 is 63, which is the smallest common time interval for the given digits. </p>

50 <p>Both cars will be serviced again in 63 days. The LCM of 7 and 9 is 63, which is the smallest common time interval for the given digits. </p>

52 <p>Well explained 👍</p>

51 <p>Well explained 👍</p>

53 <h2>FAQs on LCM of 7 and 9</h2>

52 <h2>FAQs on LCM of 7 and 9</h2>

54 <h3>1.What is the HCF of 7 and 9?</h3>

53 <h3>1.What is the HCF of 7 and 9?</h3>

55 <p>Factors of 7 are 1,7 </p>

54 <p>Factors of 7 are 1,7 </p>

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

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

57 <p>7 and 9 share no<a>common factors</a>but 1, therefore, the HCF is 1. </p>

56 <p>7 and 9 share no<a>common factors</a>but 1, therefore, the HCF is 1. </p>

58 <h3>2.What are the multiples of 7 and 9?</h3>

57 <h3>2.What are the multiples of 7 and 9?</h3>

59 <p>Multiples of 7: 7,14,21,28,35,42,49,56,63,…</p>

58 <p>Multiples of 7: 7,14,21,28,35,42,49,56,63,…</p>

60 <p>Multiples of 9: 9,18,27,36,45,54,63,…</p>

59 <p>Multiples of 9: 9,18,27,36,45,54,63,…</p>

61 <p>The<a>least common multiples</a>of 7 and 9 = 63 </p>

60 <p>The<a>least common multiples</a>of 7 and 9 = 63 </p>

62 <h3>3.What is the LCM of 7,9,21 and 1?</h3>

61 <h3>3.What is the LCM of 7,9,21 and 1?</h3>

63 <p>63 is the smallest number that appears commonly on the lists of the numbers 7,9,21 and 1. </p>

62 <p>63 is the smallest number that appears commonly on the lists of the numbers 7,9,21 and 1. </p>

64 <p>LCM (1,7,9,21)= 63 </p>

63 <p>LCM (1,7,9,21)= 63 </p>

65 <h3>4.What is divisible by 7 and 9?</h3>

64 <h3>4.What is divisible by 7 and 9?</h3>

66 <p>The LCM of 7,9 is 63, therefore, all multiples of 63 are divisible by 7 and 9. A few of these numbers include,</p>

65 <p>The LCM of 7,9 is 63, therefore, all multiples of 63 are divisible by 7 and 9. A few of these numbers include,</p>

67 <p>63,126,189,252,315,378,441 and so on. </p>

66 <p>63,126,189,252,315,378,441 and so on. </p>

68 <h3>5.What is the LCM of 6,7,9 and 12?</h3>

67 <h3>5.What is the LCM of 6,7,9 and 12?</h3>

69 <p>252 is the smallest number that appears commonly on the lists of the numbers 6,7,9 and 12</p>

68 <p>252 is the smallest number that appears commonly on the lists of the numbers 6,7,9 and 12</p>

70 <p>LCM(6,7,9,12) = 252 </p>

69 <p>LCM(6,7,9,12) = 252 </p>

71 <h2>Important glossaries for the LCM of 7 and 9</h2>

70 <h2>Important glossaries for the LCM of 7 and 9</h2>

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

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

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

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

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

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

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

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

76 <p>▶</p>

75 <p>▶</p>

77 <h2>Hiralee Lalitkumar Makwana</h2>

76 <h2>Hiralee Lalitkumar Makwana</h2>

78 <h3>About the Author</h3>

77 <h3>About the Author</h3>

79 <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 <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 <h3>Fun Fact</h3>

79 <h3>Fun Fact</h3>

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

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