LCM for 37 and 67
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What's the Least Common Multiple (LCM) of 37 and 67?
Answer
LCM of 37 and 67 is
2,479
First common multiples: 2,479; 4,958; 7,437; …
2,479 is divisible by both: 2,479 ÷ 37 = 67; 2,479 ÷ 67 = 37 — and 67 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 67 and of y/67 by 37.
37 and 67 are coprime (GCF = 1), so their LCM is simply the product: 37 × 67 = 2,479.
37 — prime
67 — prime
| Prime | 37 | 67 | Highest power |
|---|---|---|---|
| 37 | 37 | — | 37 |
| 67 | — | 67 | 67 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 37 × 67 = 2,479
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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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