LCM of 6m and 4a^3
The least common multiple (LCM) of 6m and 4a^3 can be found by breaking down each term into its prime factors:
6m = 2 * 3 * m
4a^3 = 2^2 * a^3
Then, we can find the LCM by taking the highest power of each prime factor that appears in either expression:
LCM = 2^2 * 3 * m * a^3 = 12am^1a^3 = 12am^1a^3 = 12am^1a^3
Therefore, the LCM of 6m and 4a^3 is 12am^1a^3.