If you know the formular a^3+b^3=(a+b)(a^2-ab+b^2), you can solve this problem.
8 is 2 cubed, so x^3+2^3=(x+2)(x^2-2x+4)
so the other quadratic factor is x^2-2x+4
The least common multiple is 63.
Explanation: 63 is the least number that 3 7 and 9 can go into evenly. Therefore, it is the least common multiple.