Final answer:
The LCM of 5m and 4m² is 20m³.
Step-by-step explanation:
To find the least common multiple (LCM) of 5m and 4m², we need to determine the smallest multiple that both terms have in common.
First, let's break down the terms:
- 5m = 5 * m
- 4m² = 4 * m * m
Now, we can identify the lowest power of each variable that appears in both terms, which is m. Next, we take the greatest power of each variable and multiply them together:
LCM = 5m * 4m² = 5 * m * 4 * m * m = 20m³
Therefore, the least common multiple of 5m and 4m² is 20m³.