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If the two numbers have no common factors (other than 1), then the LCM is equal to the product of the two numbers. If they have some factors in common, then those factors need only be used once when multiplying, so the LCM will be less than the product of the two numbers.

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Q: How can you determine from the prime factorization wheather the least common multiple of two numbers is the prouduct of the numbers or is less then the prouduct of two numbers. explain your thinking?
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