Question

What is the LCM of `21m^2n`, `84mn^3`?

Answer 1

`LCM(21m^2n, 84mn^3)=84m^2n^3`

Explanation:

Numerical part: `84` is an exaclt multiple of `21` (namely, `21*4`), so `LCM(21,84)=84`.

Literal part: we must take all the variables which appear, and take them with the highest exponent possible. The variables are `m` and `n`. `m` appears squared first, and then at its first power. So we'll chose the squared one. `n` appears at its first power first, and then cubed, so we'll chose the cubed one.