Example: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Combine the factors, eliminating duplicates.
2 x 3 x 5 x 7 = 210, the LCM
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You need at least two numbers to find an LCM no matter what you use.
Precisely.
The idea is to divide numerator and denominator of a fraction by any common factors. Prime factorization is simply used to find all possible factors.
3 x 5 = 15 3 x 7 = 21 Combine the factors, eliminating duplicates. 3 x 5 x 7 = 105, the LCM
a and b have no common prime factors. Their LCM is their product.