LCM for 57 and 60
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What's the Least Common Multiple (LCM) of 57 and 60?
Answer
LCM of 57 and 60 is
1,140
First common multiples: 1,140; 2,280; 3,420; …
1,140 is divisible by both: 1,140 ÷ 57 = 20; 1,140 ÷ 60 = 19 — and 20 and 19 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/57 by 20 and of y/60 by 19.
57 = 3 × 19
60 = 22 × 3 × 5
| Prime | 57 | 60 | Highest power |
|---|---|---|---|
| 2 | — | 22 | 22 |
| 3 | 3 | 3 | 3 |
| 5 | — | 5 | 5 |
| 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 = 22 × 3 × 5 × 19 = 1,140
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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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