LCM for 40 and 57
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What's the Least Common Multiple (LCM) of 40 and 57?
Answer
LCM of 40 and 57 is
2,280
First common multiples: 2,280; 4,560; 6,840; …
2,280 is divisible by both: 2,280 ÷ 40 = 57; 2,280 ÷ 57 = 40 — and 57 and 40 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/40 by 57 and of y/57 by 40.
40 and 57 are coprime (GCF = 1), so their LCM is simply the product: 40 × 57 = 2,280.
40 = 23 × 5
57 = 3 × 19
| Prime | 40 | 57 | Highest power |
|---|---|---|---|
| 2 | 23 | — | 23 |
| 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 = 23 × 3 × 5 × 19 = 2,280
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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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