LCM for 14 and 39
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What's the Least Common Multiple (LCM) of 14 and 39?
Answer
LCM of 14 and 39 is
546
First common multiples: 546; 1,092; 1,638; …
546 is divisible by both: 546 ÷ 14 = 39, 546 ÷ 39 = 14 — and 39 and 14 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/14 by 39 and of y/39 by 14.
14 and 39 are coprime (GCF = 1), so their LCM is simply the product: 14 × 39 = 546.
14 = 2 × 7
39 = 3 × 13
| Prime | 14 | 39 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | — | 3 | 3 |
| 7 | 7 | — | 7 |
| 13 | — | 13 | 13 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 3 × 7 × 13 = 546
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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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