What Is the Least Common Multiple of 32 and 45?

What Is the Least Common Multiple of 32 and 45?

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.

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.