LCM Calculator
Result
About Least Common Multiple (LCM)
The Least Common Multiple (LCM) of two or more numbers is the smallest positive integer that is divisible by each of the numbers.
Properties:
- LCM is always greater than or equal to the largest number in the set
- If one number is a multiple of another, their LCM is the larger number
- For prime numbers, their LCM is their product
Examples:
| Numbers | LCM | Explanation |
|---|---|---|
| 12, 18 | 36 | 36 is the smallest number divisible by both 12 and 18 |
| 8, 12, 16 | 48 | 48 is the smallest number divisible by 8, 12, and 16 |
| 5, 7 | 35 | Since 5 and 7 are prime, their LCM is their product |
Applications:
- Finding common denominators in fractions
- Scheduling recurring events
- Solving word problems involving multiple cycles
- Cryptography and number theory
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