Answer
$x(x-1)(x+1)$
Work Step by Step
To find the least common multiple (LCM), we factor the polynomials completely and then LCM is the product of each of these factors raised to the greatest power that occurs in the polynomials. So we have
$$
x^3-x=x(x^2-1)=x(x-1)(x+1), \quad x^2 - x=x(x-1)
.$$
Thus, the LCM is $x(x-1)(x+1)$.
