LCM for 17 and 42
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What's the Least Common Multiple (LCM) of 17 and 42?
Answer
LCM of 17 and 42 is
714
First common multiples: 714; 1,428; 2,142; …
714 is divisible by both: 714 ÷ 17 = 42, 714 ÷ 42 = 17 — and 42 and 17 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/17 by 42 and of y/42 by 17.
17 and 42 are coprime (GCF = 1), so their LCM is simply the product: 17 × 42 = 714.
17 — prime
42 = 2 × 3 × 7
| Prime | 17 | 42 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 3 | — | 3 | 3 |
| 7 | — | 7 | 7 |
| 17 | 17 | — | 17 |
— = 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 × 17 = 714
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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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