LCM for 17 and 18
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What's the Least Common Multiple (LCM) of 17 and 18?
Answer
LCM of 17 and 18 is
306
First common multiples: 306, 612, 918, …
306 is divisible by both: 306 ÷ 17 = 18, 306 ÷ 18 = 17 — and 18 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 18 and of y/18 by 17.
17 and 18 are coprime (GCF = 1), so their LCM is simply the product: 17 × 18 = 306.
17 — prime
18 = 2 × 32
| Prime | 17 | 18 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 3 | — | 32 | 32 |
| 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 × 32 × 17 = 306
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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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