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1 - <p>266 Learners</p>

1 + <p>288 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 2 and 4. 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>LCM of 2 and 4 Using Listing the Multiples</h2>

5 <p><strong>Step 1:</strong>Write down the multiples of the<a>numbers</a>. Don’t stop too early.</p>

6 <p> Multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, …</p>

7 <p> Multiples of 4 = 4,8,12,16,20,…</p>

8 <p> <strong>Step 2:</strong>Find the smallest number common between the written multiples of 2 and 4 </p>

9 <p> - The smallest<a>common multiple</a>is 4</p>

10 <p>Thus, LCM(2,4) = 4</p>

11 <h3>LCM of 2 and 4 Using Prime Factorization</h3>

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

13 <p> 2 = 2</p>

14 <p> 4 = 2×2</p>

15 <p><strong>Step 2:</strong>- find the highest<a>powers</a>of the factors of 2 and 4</p>

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

17 <p>LCM(2,4) = 4</p>

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20 <h3>LCM of 2 and 4 Using Division Method</h3>

19 <h3>LCM of 2 and 4 Using Division Method</h3>

21 <ul><li>Write the numbers 2,4 in a row </li>

20 <ul><li>Write the numbers 2,4 in a row </li>

22 </ul><ul><li>Divide them by their common prime factors, if there is one</li>

21 </ul><ul><li>Divide them by their common prime factors, if there is one</li>

23 </ul><ul><li>Carry forward the numbers that are left undivided by the previously chosen factor</li>

22 </ul><ul><li>Carry forward the numbers that are left undivided by the previously chosen factor</li>

24 </ul><ul><li>Continue dividing until the<a>remainder</a>is ‘1’</li>

23 </ul><ul><li>Continue dividing until the<a>remainder</a>is ‘1’</li>

25 </ul><ul><li>Multiply the divisors to find the LCM</li>

24 </ul><ul><li>Multiply the divisors to find the LCM</li>

26 </ul><ul><li>LCM(2,4) = 4 </li>

25 </ul><ul><li>LCM(2,4) = 4 </li>

27 </ul><h2>Common Mistakes and how to avoid them while finding the LCM of 2 and 4</h2>

26 </ul><h2>Common Mistakes and how to avoid them while finding the LCM of 2 and 4</h2>

28 <p>Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 2 and 4. Try to avoid them. </p>

27 <p>Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 2 and 4. Try to avoid them. </p>

29 <h3>Problem 1</h3>

28 <h3>Problem 1</h3>

30 <p>A takes a water break every 2 hours, and B does so every 4 hours. If they take a break together at noon, when will they take their next break?</p>

29 <p>A takes a water break every 2 hours, and B does so every 4 hours. If they take a break together at noon, when will they take their next break?</p>

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

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

32 <p>The LCM of 2 and 4 is 8. </p>

31 <p>The LCM of 2 and 4 is 8. </p>

33 <h3>Explanation</h3>

32 <h3>Explanation</h3>

34 <p> Both A and B will take a water break together in 8 hours. The LCM of 2 and 4 is 8, which is the smallest common time interval for the given digits. </p>

33 <p> Both A and B will take a water break together in 8 hours. The LCM of 2 and 4 is 8, which is the smallest common time interval for the given digits. </p>

35 <p>Well explained 👍</p>

34 <p>Well explained 👍</p>

36 <h3>Problem 2</h3>

35 <h3>Problem 2</h3>

37 <p>Verify that the LCM of 2 and 4 is the product of the highest powers of all primes involved in their factorizations.</p>

36 <p>Verify that the LCM of 2 and 4 is the product of the highest powers of all primes involved in their factorizations.</p>

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

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

39 <p>The prime factorization of 2 is 2, and of 4 is 22</p>

38 <p>The prime factorization of 2 is 2, and of 4 is 22</p>

40 <p>The LCM is found by taking the highest powers of all primes:</p>

39 <p>The LCM is found by taking the highest powers of all primes:</p>

41 <p>LCM(2,4)=22=4 </p>

40 <p>LCM(2,4)=22=4 </p>

42 <h3>Explanation</h3>

41 <h3>Explanation</h3>

43 <p>The result matches the known LCM. </p>

42 <p>The result matches the known LCM. </p>

44 <p>Well explained 👍</p>

43 <p>Well explained 👍</p>

45 <h3>Problem 3</h3>

44 <h3>Problem 3</h3>

46 <p>If the LCM of 2 and 4 is multiplied by 150%, what is the result?</p>

45 <p>If the LCM of 2 and 4 is multiplied by 150%, what is the result?</p>

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

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

48 <p>The LCM of 2 and 4 is 4.</p>

47 <p>The LCM of 2 and 4 is 4.</p>

49 <p>Multiplying by 150%:</p>

48 <p>Multiplying by 150%:</p>

50 <p>4×150/100=4×1.5=64 </p>

49 <p>4×150/100=4×1.5=64 </p>

51 <h3>Explanation</h3>

50 <h3>Explanation</h3>

52 <p>The result is 6. </p>

51 <p>The result is 6. </p>

53 <p>Well explained 👍</p>

52 <p>Well explained 👍</p>

54 <h2>FAQs on LCM of 2 and 4</h2>

53 <h2>FAQs on LCM of 2 and 4</h2>

55 <h3>1.What is the LCM of 2,4 and 8?</h3>

54 <h3>1.What is the LCM of 2,4 and 8?</h3>

56 <p>LCM (2,4,8) = 8 </p>

55 <p>LCM (2,4,8) = 8 </p>

57 <p>8 is the smallest number that appears commonly on the lists of the numbers 2,4 and 8. </p>

56 <p>8 is the smallest number that appears commonly on the lists of the numbers 2,4 and 8. </p>

58 <h3>2.What is the HCF of 2 and 4 ?</h3>

57 <h3>2.What is the HCF of 2 and 4 ?</h3>

59 <p>HCF of 2 and 4 can be found by listing the factors of the numbers → finding the<a>largest common factor</a>from the list of numbers. </p>

58 <p>HCF of 2 and 4 can be found by listing the factors of the numbers → finding the<a>largest common factor</a>from the list of numbers. </p>

60 <p>Factors of 2: 1,2</p>

59 <p>Factors of 2: 1,2</p>

61 <p>Factors of 4: 1,2,4</p>

60 <p>Factors of 4: 1,2,4</p>

62 <p>HCF of 2,4 = 2 </p>

61 <p>HCF of 2,4 = 2 </p>

63 <h3>3.What is the LCM of 3 and 4?</h3>

62 <h3>3.What is the LCM of 3 and 4?</h3>

64 <p>LCM (3,4) = 12 </p>

63 <p>LCM (3,4) = 12 </p>

65 <p>12 is the smallest number that appears commonly on the lists of the numbers 3 and 4. </p>

64 <p>12 is the smallest number that appears commonly on the lists of the numbers 3 and 4. </p>

66 <h3>4.What is the LCM of 7 and 5?</h3>

65 <h3>4.What is the LCM of 7 and 5?</h3>

67 <p>35 is the smallest number that appears commonly on the lists of the numbers 7 and 5.</p>

66 <p>35 is the smallest number that appears commonly on the lists of the numbers 7 and 5.</p>

68 <p>LCM (5,7) =35 </p>

67 <p>LCM (5,7) =35 </p>

69 <h3>5.What is the LCM of 7 and 8?</h3>

68 <h3>5.What is the LCM of 7 and 8?</h3>

70 <p>LCM (7,8)= 56 </p>

69 <p>LCM (7,8)= 56 </p>

71 <p>56 is the smallest number that appears commonly on the lists of the numbers 7 and 8. </p>

70 <p>56 is the smallest number that appears commonly on the lists of the numbers 7 and 8. </p>

72 <h2>Important glossaries for the LCM of 2 and 4</h2>

71 <h2>Important glossaries for the LCM of 2 and 4</h2>

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

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

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

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

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

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

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

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

77 <p>▶</p>

76 <p>▶</p>

78 <h2>Hiralee Lalitkumar Makwana</h2>

77 <h2>Hiralee Lalitkumar Makwana</h2>

79 <h3>About the Author</h3>

78 <h3>About the Author</h3>

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>

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>

81 <h3>Fun Fact</h3>

80 <h3>Fun Fact</h3>

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

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