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18 and 108 have a GCF of 18 and an LCM of 108.

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Q: What 2 numbers have a greatest common multiple of 18 and a least common multiple of 108?
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When is the product of two numbers divided by the greatest common multiple the least common multiple?

Never. The greatest common multiple of any two numbers is infinite.


Is the least common multiple of two numbers always divisible by the greatest common factor of the two numbers?

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What is the greatest common multiple of two prime numbers?

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What is the least common multiple of 28 and 48?

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When the greatest common factor is 1 is the least common multiple of these numbers always the product of the numbers?

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What is the least common multiple of 2 coprime numbers?

The least common multiple of two numbers is the product of those two numbers divided by their greatest common factor. It the two numbers are coprime (or relatively prime), their greatest common factor is 1. Therefore, their least common multiple is a x b ÷ GCF (of a and b) = a x b ÷ 1 = a x b. The least common multiple of two coprime numbers is the numbers multiplied together.


What is the difference between the least common multiple and the greatest common multiple?

The least common multiple, or LCM, is the smallest integer that all the members of a given set of numbers will divide into evenly with no remainder. The greatest common multiple is infinite.