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

3 <p>LCM is the smallest common multiple between 2 or more numbers that can divide the numbers evenly. It is a mathematical tool we apply in various fields like making music, planning and scheduling.</p>

4 <h2>What is the LCM of 15 and 35?</h2>

5 <p>LCM<a>of</a>15 and 35 becomes 105. Let’s find out how to get the LCM. </p>

6 <h2>How to find the LCM of 15 and 35?</h2>

7 <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>

8 <h3>LCM of 15 and 35 using the Listing multiples method</h3>

9 <p> list the<a>multiples</a>of the<a>integers</a>until a<a>common multiple</a>is found. </p>

10 <p><strong> Step 1: </strong>List multiples of each<a>number</a>: </p>

11 <p>Multiples of 15 = 15,30,45,60,…105,…</p>

12 <p>Multiples of 35 = 35,70,105,…</p>

13 <p><strong> Step 2: </strong>Find the smallest multiple from the listed multiples</p>

14 <p>The<a>least common multiple</a>of the numbers is 105.</p>

15 <p>LCM(15,35) = 105</p>

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18 <h3>LCM of 15 and 35 using the Prime Factorization</h3>

17 <h3>LCM of 15 and 35 using the Prime Factorization</h3>

19 <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>

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>

20 <p><strong>Step 1: </strong>prime factorize the numbers:</p>

19 <p><strong>Step 1: </strong>prime factorize the numbers:</p>

21 <p>15 = 5×3</p>

20 <p>15 = 5×3</p>

22 <p>35= 7×5</p>

21 <p>35= 7×5</p>

23 <p><strong>Step 2: </strong>pick the highest power of each prime factor and multiply the ascertained factors.</p>

22 <p><strong>Step 2: </strong>pick the highest power of each prime factor and multiply the ascertained factors.</p>

24 <p>- 7,3,5 = LCM,<a>i</a>.e, 105</p>

23 <p>- 7,3,5 = LCM,<a>i</a>.e, 105</p>

25 <h3>LCM of 15 and 35 using the Division Method</h3>

24 <h3>LCM of 15 and 35 using the Division Method</h3>

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

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

27 <p><strong>Step 2: </strong>Divide the row of numbers by a<a>prime number</a>that is evenly divisible into one of the given numbers, and bring down the numbers not divisible by the previous prime number. </p>

26 <p><strong>Step 2: </strong>Divide the row of numbers by a<a>prime number</a>that is evenly divisible into one of the given numbers, and bring down the numbers not divisible by the previous prime number. </p>

28 <p> <strong>Step 3: </strong>Continue dividing the numbers until the last row of the result is ‘1’. The LCM of the numbers is the<a>product</a>of the prime numbers in the first column, i.e, </p>

27 <p> <strong>Step 3: </strong>Continue dividing the numbers until the last row of the result is ‘1’. The LCM of the numbers is the<a>product</a>of the prime numbers in the first column, i.e, </p>

29 <p>LCM(15,35)=105</p>

28 <p>LCM(15,35)=105</p>

30 <h2>Common Mistakes and how to avoid them in LCM of 15 and 35</h2>

29 <h2>Common Mistakes and how to avoid them in LCM of 15 and 35</h2>

31 <p>When we try to find the LCM, kids may commit some mistakes. Look out for these when you are learning the LCM of 15 and 35. </p>

30 <p>When we try to find the LCM, kids may commit some mistakes. Look out for these when you are learning the LCM of 15 and 35. </p>

32 <h3>Problem 1</h3>

31 <h3>Problem 1</h3>

33 <p>The sprinkler watering system waters every 15 days and the drip watering system waters every 35 days. On which day do they have to be turned on together?</p>

32 <p>The sprinkler watering system waters every 15 days and the drip watering system waters every 35 days. On which day do they have to be turned on together?</p>

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

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

35 <p>LCM(15,35) = 105 </p>

34 <p>LCM(15,35) = 105 </p>

36 <h3>Explanation</h3>

35 <h3>Explanation</h3>

37 <p>Both the watering systems have to be turned on together in 105 days. The LCM expresses the smallest common time interval between the digits.</p>

36 <p>Both the watering systems have to be turned on together in 105 days. The LCM expresses the smallest common time interval between the digits.</p>

38 <p>Well explained 👍</p>

37 <p>Well explained 👍</p>

39 <h3>Problem 2</h3>

38 <h3>Problem 2</h3>

40 <p>Verify a=15,b=35 LCM(a,b)×HCF(a,b)=a×b is satisfied.</p>

39 <p>Verify a=15,b=35 LCM(a,b)×HCF(a,b)=a×b is satisfied.</p>

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

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

42 <p>LCM of 15,35= 105</p>

41 <p>LCM of 15,35= 105</p>

43 <p>HCF of 15,35 = 5</p>

42 <p>HCF of 15,35 = 5</p>

44 <p>LCM(a,b)×HCF(a,b)=a×b </p>

43 <p>LCM(a,b)×HCF(a,b)=a×b </p>

45 <p>105×5 = 15×35 </p>

44 <p>105×5 = 15×35 </p>

46 <p>525 = 525 </p>

45 <p>525 = 525 </p>

47 <h3>Explanation</h3>

46 <h3>Explanation</h3>

48 <p>LHS = RHS, the relationship stands true. </p>

47 <p>LHS = RHS, the relationship stands true. </p>

49 <p>Well explained 👍</p>

48 <p>Well explained 👍</p>

50 <h3>Problem 3</h3>

49 <h3>Problem 3</h3>

51 <p>The LCM of 5 and x is 10. Find x.</p>

50 <p>The LCM of 5 and x is 10. Find x.</p>

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

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

53 <p>LCM(5,x) = 10</p>

52 <p>LCM(5,x) = 10</p>

54 <p>LCM(a,b)=a×b/HCF(a,b)</p>

53 <p>LCM(a,b)=a×b/HCF(a,b)</p>

55 <p>LCM(5,x)=5×x/1 </p>

54 <p>LCM(5,x)=5×x/1 </p>

56 <p>5×x = 10 </p>

55 <p>5×x = 10 </p>

57 <p>x = 10/5 = 2 </p>

56 <p>x = 10/5 = 2 </p>

58 <h3>Explanation</h3>

57 <h3>Explanation</h3>

59 <p>The LCM of 5 and 2 is 10. The above is how we find it. x = 2.</p>

58 <p>The LCM of 5 and 2 is 10. The above is how we find it. x = 2.</p>

60 <p>Well explained 👍</p>

59 <p>Well explained 👍</p>

61 <h2>FAQs on the LCM of 15 and 35</h2>

60 <h2>FAQs on the LCM of 15 and 35</h2>

62 <h3>1.What is the GCF of 15 and 35 ?</h3>

61 <h3>1.What is the GCF of 15 and 35 ?</h3>

63 <p>Factors of the numbers; </p>

62 <p>Factors of the numbers; </p>

64 <p>15 = 1,3,5,15</p>

63 <p>15 = 1,3,5,15</p>

65 <p>35 = 1,5,7,35</p>

64 <p>35 = 1,5,7,35</p>

66 <p>GCF(15,35) = 5 </p>

65 <p>GCF(15,35) = 5 </p>

67 <h3>2.What is the LCM of 15,35 and 45?</h3>

66 <h3>2.What is the LCM of 15,35 and 45?</h3>

68 <p>15 = 5×3</p>

67 <p>15 = 5×3</p>

69 <p>35= 7×5</p>

68 <p>35= 7×5</p>

70 <p>45 = 3×3×5 </p>

69 <p>45 = 3×3×5 </p>

71 <p>LCM (15,35,45) = 315 </p>

70 <p>LCM (15,35,45) = 315 </p>

72 <h3>3.What is the LCM of 14 and 35?</h3>

71 <h3>3.What is the LCM of 14 and 35?</h3>

73 <p>14 = 2×7</p>

72 <p>14 = 2×7</p>

74 <p>35= 7×5</p>

73 <p>35= 7×5</p>

75 <p>LCM(14,35) = 70 </p>

74 <p>LCM(14,35) = 70 </p>

76 <h3>4.What are the multiples of 35?</h3>

75 <h3>4.What are the multiples of 35?</h3>

77 <p>The multiples of 35 up to 10-35,70,105,140,175,210,245,280,315 and 350. </p>

76 <p>The multiples of 35 up to 10-35,70,105,140,175,210,245,280,315 and 350. </p>

78 <h3>5.What is the LCM of 35 and 70?</h3>

77 <h3>5.What is the LCM of 35 and 70?</h3>

79 <p>35= 7×5</p>

78 <p>35= 7×5</p>

80 <p>70= 7×5×2</p>

79 <p>70= 7×5×2</p>

81 <p>LCM(35,70) = 70 </p>

80 <p>LCM(35,70) = 70 </p>

82 <h2>Important glossaries for the LCM of 15 and 35</h2>

81 <h2>Important glossaries for the LCM of 15 and 35</h2>

83 <ul><li><strong>Multiple:</strong>product of a number and a natural integer </li>

82 <ul><li><strong>Multiple:</strong>product of a number and a natural integer </li>

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

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

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

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

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

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

87 <p>▶</p>

86 <p>▶</p>

88 <h2>Hiralee Lalitkumar Makwana</h2>

87 <h2>Hiralee Lalitkumar Makwana</h2>

89 <h3>About the Author</h3>

88 <h3>About the Author</h3>

90 <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>

89 <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>

91 <h3>Fun Fact</h3>

90 <h3>Fun Fact</h3>

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

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