LCM for 30 and 37
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What's the Least Common Multiple (LCM) of 30 and 37?
Answer
LCM of 30 and 37 is
1,110
First common multiples: 1,110; 2,220; 3,330; …
1,110 is divisible by both: 1,110 ÷ 30 = 37; 1,110 ÷ 37 = 30 — and 37 and 30 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/30 by 37 and of y/37 by 30.
30 and 37 are coprime (GCF = 1), so their LCM is simply the product: 30 × 37 = 1,110.
30 = 2 × 3 × 5
37 — prime
| Prime | 30 | 37 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | 3 | — | 3 |
| 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 = 2 × 3 × 5 × 37 = 1,110
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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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