LCM for 15 and 12
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What's the Least Common Multiple (LCM) of 15 and 12?
Answer
LCM of 15 and 12 is
60
First common multiples: 60, 120, 180, …
60 is divisible by both: 60 ÷ 15 = 4, 60 ÷ 12 = 5 — and 4 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/15 by 4 and of y/12 by 5.
15 = 3 × 5
12 = 22 × 3
| Prime | 15 | 12 | Highest power |
|---|---|---|---|
| 2 | — | 22 | 22 |
| 3 | 3 | 3 | 3 |
| 5 | 5 | — | 5 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 3 × 5 = 60
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See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Multiples of a Number - List the first 10 multiples of any number from 1 to 999
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