LCM for 17 and 20
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What's the Least Common Multiple (LCM) of 17 and 20?
Answer
LCM of 17 and 20 is
340
First common multiples: 340; 680; 1,020; …
340 is divisible by both: 340 ÷ 17 = 20, 340 ÷ 20 = 17 — and 20 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 20 and of y/20 by 17.
17 and 20 are coprime (GCF = 1), so their LCM is simply the product: 17 × 20 = 340.
17 — prime
20 = 22 × 5
| Prime | 17 | 20 | Highest power |
|---|---|---|---|
| 2 | — | 22 | 22 |
| 5 | — | 5 | 5 |
| 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 = 22 × 5 × 17 = 340
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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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