If $$P\left(x\right) = \left(x^{3} - 8\right)\left(x + 1\right)$$ and $$Q\left(x\right) = \left(x^{3} + 1\right)\left(x - 2\right)$$, the LCM of P(x) and Q(x) is:

A

$$\left(x^{2} + 2x + 4\right)\left(x^{2} + 4x + 1\right)$$

B

$$\left(x + 1\right)\left(x - 2\right)\left(x^{2} + 2x + 4\right)\left(x^{2} - x + 1\right)$$

C

$$\left(x + 1\right)2 \left(x - 2\right) 2 \left(x^{2} + 2x + 4\right)\left(x^{2} + 4x + 1\right)$$

D

$$\left(x-2\right)\left(x+1\right)$$