Question

How do you find the Least common multiple of `16x^2y, 32x`?

Answer 1

`LCM = 32x^2y`

Explanation:

The least common multiple in this case can be found by writing the factors of both the terms.
`16x^2y = 2xx2xx2xx2xx x xx x xxy`
`32x = 2xx2xx2xx2xx2xx x`
We find the common terms which are `2^4 and x` in this case.
The terms left are `2, x and y`.
To get the LCM, we multiply the common terms with the terms that are left.
So, LCM = `2^4xx x xx2xx x xxy`
Therefore, LCM = `32x^2y`