Help to find the lowest common denominator?

Question

Find the lowest common denominator for the group of denominators.

x^2 - x - 2 and x^2 - 3x +2

Answer 1

x^2 - x - 2 = (x - 2) (x + 1)

x^2 - 3x + 2 = ( x - 2) (x - 1)

So Lowest common denominator is

(x - 2) ( x + 1) (x - 1) = (x - 2)(x^2 - 1)