Q:

# What is the LCM of 6 and 10?

A:

The LCM, or least common multiple, of six and 10 is 30. The least common multiple is the smallest number that is divisible by a particular group of numbers with no remainder.

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The number 30 is the smallest number evenly divisible by both six and 10. There are several ways to arrive at the least common multiple for a group of numbers, but the mathematical formula involves figuring it from the prime factors of each number. The prime factors of six are two and three. The prime factors of ten are two and five. In mathematical terms, 2 x 3 = 6, and 2 x 5 =10. Each prime number is used the highest amount of times it is used for each number to figure the LCM. In this case, 2 x 3 x 5 = 30.

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