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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

If there are no common prime factors, the LCM is the product of the original two numbers.

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Q: How can you determine from the prime factorizations whether the least common multiple of two numbers?
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How can you determine from the prime factorization whether the least common multiple of two numbers is the product of the numbers?

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