Answer
a. $2(x + 2)(x - 3)$
b. $(x + 4)(x - 1)(x - 2)^2$
Work Step by Step
a. Factor both expressions completely:
$2(x + 2)$ and $(x - 3)(x + 2)$
The least common multiple of the two expressions would incorporate all factors in the two expressions:
$2(x + 2)(x - 3)$
b. Factor all expressions completely:
$(x + 4)(x - 1)$, $(x + 4)(x - 2)$ and $(x - 2)(x - 2)$
The least common multiple of these expressions would incorporate all factors in all three expressions:
$(x + 4)(x - 1)(x - 2)^2$