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The LCM of 12, 18, and 21 is 252

Factors of 12: 2^2, 3

Fadtors of 18: 2, 3^2

Factors of 21: 3, 7

Since the LCM of a set of numbers is mathematically defined to be the product of all the prime factors in the set taken to the highest degree they appear, the LCM must be the product of 22 X 32 X 7 = 252. 252 is the smallest number to be divisible by 12, 18, and 21.

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9y ago

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