LCM for 34 and 57
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What's the Least Common Multiple (LCM) of 34 and 57?
Answer
LCM of 34 and 57 is
1,938
First common multiples: 1,938; 3,876; 5,814; …
1,938 is divisible by both: 1,938 ÷ 34 = 57; 1,938 ÷ 57 = 34 — and 57 and 34 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/34 by 57 and of y/57 by 34.
34 and 57 are coprime (GCF = 1), so their LCM is simply the product: 34 × 57 = 1,938.
34 = 2 × 17
57 = 3 × 19
| Prime | 34 | 57 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | — | 3 | 3 |
| 17 | 17 | — | 17 |
| 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 = 2 × 3 × 17 × 19 = 1,938
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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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