LCM for 37 and 40
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What's the Least Common Multiple (LCM) of 37 and 40?
Answer
LCM of 37 and 40 is
1,480
First common multiples: 1,480; 2,960; 4,440; …
1,480 is divisible by both: 1,480 ÷ 37 = 40; 1,480 ÷ 40 = 37 — and 40 and 37 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/37 by 40 and of y/40 by 37.
37 and 40 are coprime (GCF = 1), so their LCM is simply the product: 37 × 40 = 1,480.
37 — prime
40 = 23 × 5
| Prime | 37 | 40 | Highest power |
|---|---|---|---|
| 2 | — | 23 | 23 |
| 5 | — | 5 | 5 |
| 37 | 37 | — | 37 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 5 × 37 = 1,480
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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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