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

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Answer 1 · 2016-11-29T14:55:07

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

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:

$LCM=322u^2v^2$

How do you find the Least common multiple of 23u^2, 14v^223u^2, 14v^2?