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kphung76127
If the lcm equals the product of the numbers, that means that they have no common factors.

If you're looking at the prime factorization of two numbers, the product will only be the lcm if the prime factorizations do not share a single number.

The way we can tell the prime factorization of two numbers is; LCM(A,B) = A*B, then we say that; GCF(A,B) = (A*B)/LCM(A,B) = (A*B)/(A*B) = 1

What is prime factorization?

If the LCM equals the product of the numbers, then it means that they have no common factors.

Since LCM(A,B) = (A*B)/(GCF(A,B)), then we can say that;

GCF(A,B) = (A*B)/LCM(A,B).

However, if LCM(A,B) = A*B, then we say that;

GCF(A,B) = (A*B)/LCM(A,B) = (A*B)/(A*B) = 1

Read more about Prime Factorization at; https://brainly.com/question/449449

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