We can find the least positive multiple of 21 greater than 380 by dividing 380 by 21 and rounding up.
\[\frac{380}{21} \approx 18.095\]
Rounding up, we get 19.
So, the least positive multiple of 21 greater than 380 is $21 \times 19 = \boxed{399}$.
The answer is: 399
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
What is the least positive multiple of 21 that is greater than 380?

### Answer:
