Q:

# What is the least common multiple of 32 and 45?

A:

The least common multiple of 32 and 45 is 1,440. Using prime factorization by reducing 32 and 45 down to a product of prime numbers, 32 becomes 2 x 2 x 2 x 2 x 2 and 45 becomes 3 x 3 x 5.

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Since there are no 2s in 45 and no 3s or 5s in 32, simple multiplication of the outlined prime factorization results in 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 = 2 x 2 = 4 x 2 = 8 x 2 = 16 x 2 = 32 x 3 = 96 x 3 = 288 x 5 = 1,440.

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