Prime Factorization Method
There are multiple ways to find the least common multiple of given integers. In this method, we find the prime factors of each number, and then take the highest power of each prime that appears in the factorization of either number for find LCM.
- Find the prime factorization of each number:
42 = 2, 3, 7
2 = 2
- Identify the highest powers of all prime numbers that appear in the factorization:
- To find LCM multiply these highest powers: LCM(42, 2) = = 42
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To find the Least Common Multiple (LCM) of 42 and 2 using the method of listing common multiples, follow these steps:
- List some multiples of each number.
- Identify the smallest multiple that is common to both lists.
- Multiples of 42
42, 84, 126, 168, 210, 252, 294, 336, 378, 420,…
- Multiples of 2
2, 4, 6, 8, 10, 12, 14, 16, 18, 20,…
- Common multiples
Identify the common multiples from the lists above: 84, 168,…
The smallest common multiple is 42.
The LCM of 42 and 2 using the common multiples method is 42.
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Summary
What is the LCM of 42 and 2? The answer is 42. LCM using prime factorisation, common factor, video tutorial & instructions for each step.
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