The least common multiple (LCM) of two or more numbers is the smallest positive integer that is divisible by all of those numbers.
Explanation:
- For example, if you want to find the LCM of 4 and 6, you look for the smallest number that both 4 and 6 can divide without leaving a remainder.
- Multiples of 4 are: 4, 8, 12, 16, 20, 24, ...
- Multiples of 6 are: 6, 12, 18, 24, 30, ...
- The smallest common multiple is 12.
Why is LCM useful?
- It is often used when adding, subtracting, or comparing fractions with different denominators.
- It helps in solving problems involving synchronization of repeating events.
If you'd like, I can show you how to find the LCM step-by-step!
