LCM for 18 and 57
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What's the Least Common Multiple (LCM) of 18 and 57?
Answer
LCM of 18 and 57 is
342
First common multiples: 342; 684; 1,026; …
342 is divisible by both: 342 ÷ 18 = 19, 342 ÷ 57 = 6 — and 19 and 6 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/18 by 19 and of y/57 by 6.
18 = 2 × 32
57 = 3 × 19
| Prime | 18 | 57 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | 32 | 3 | 32 |
| 19 | — | 19 | 19 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 32 × 19 = 342
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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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