Find the least common multiple of 6x^2 and 4a

To find the least common multiple (LCM) of 6x^2 and 4a, we first need to factorize both expressions.

6x^2 = 2 * 3 * x * x
4a = 2 * 2 * a

Now, we identify the common factors and the highest powers they appear with:

Common factors:
2^1

Highest powers:
2^1, 3^1, x^2, a^1

Therefore, the LCM of 6x^2 and 4a is:
2 * 3 * x^2 * a = 6x^2a