What is the least common multiple of 90 and 165?

Answer 1

To find the least common multiple (LCM) of two numbers, you first need to find the prime factorization of each number. The prime factorization of 90 is 2 x 3^2 x 5, and the prime factorization of 165 is 3 x 5 x 11. Then, you take the highest power of each prime factor that appears in either factorization. Therefore, the LCM of 90 and 165 is 2 x 3^2 x 5 x 11, which equals 990.

Answer 2

The least common multiple (LCM) is often also called the lowest common multiple or smallest common multiple. Keep in mind that these different terms all refer to the same thing: the smallest positive integer which is a multiple of two or more numbers.

The least common multiple of 90 and 165 is 990.

Answer 3

Factor them.

2 x 3 x 3 x 5 = 90

3 x 5 x 11 = 165

Combine the factors, eliminating duplicates.

2 x 3 x 3 x 5 x 11 = 990, the LCM

Answer 4

The GCF of 90 and 165 is 15.

Answer 5

The LCM is: 330

Answer 6

The GCF is 45.

Answer 7

LCM(90, 65) = 1170.

Answer 8

270

Answer 9

15.