The least common multiple (LCM) of 100 and 25 is 100.
Explanation:
To find the LCM, we can list the multiples of each number:
- Multiples of 25: 25, 50, 75, 100, 125, 150, ...
- Multiples of 100: 100, 200, 300, 400, ...
The smallest multiple that is common to both 25 and 100 is 100. Alternatively, since 25 is a factor of 100 (100 = 25 * 4), the LCM of 25 and 100 is simply the larger number, which is 100.