Question

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

Answer 1

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.

`23u^2` is already factorized as `23` is prime.

`14v^2 =2*7*v^2`

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

`LCM=322u^2v^2`