LCM for 17 and 41
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What's the Least Common Multiple (LCM) of 17 and 41?
Answer
LCM of 17 and 41 is
697
First common multiples: 697; 1,394; 2,091; …
697 is divisible by both: 697 ÷ 17 = 41, 697 ÷ 41 = 17 — and 41 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 41 and of y/41 by 17.
17 and 41 are coprime (GCF = 1), so their LCM is simply the product: 17 × 41 = 697.
17 — prime
41 — prime
| Prime | 17 | 41 | Highest power |
|---|---|---|---|
| 17 | 17 | — | 17 |
| 41 | — | 41 | 41 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 17 × 41 = 697
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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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