# How do you find the Least common multiple of 23u^2, 14v^2?

Nov 29, 2016

The LCM is the product of the two terms, as they have no factor in common.

#### Explanation:

Write the terms as a product of prime factors.

The LCM is the product of common and non common factors each taken once with the highest exponent.

$23 {u}^{2}$ is already factorized as $23$ is prime.

$14 {v}^{2} = 2 \cdot 7 \cdot {v}^{2}$

There are no common factors so the LCM is just the product of all factors:

$L C M = 322 {u}^{2} {v}^{2}$