Question

What is the LCM of 24a, `32a^4`?

Answer 1

`LCM(24a,32a^4) = (24a*32a^4)/(GCD(24a,32a^4)) = 96a^4`

Explanation:

The GCD (Greatest Common Divisor) of `24` and `32` is `8`

The GCD of `a` and `a^4` is `a`

Therefore
`color(white)("XXX")GCD(24a,32a^4) = 8a`
and
`color(white)("XXX")LCM(24a,32a^4) = (24a*32a^4)/(8a)`

`color(white)("XXXXXXXXXXXXX")=96a^4`