LCM for 12 and 17
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What's the Least Common Multiple (LCM) of 12 and 17?
Answer
LCM of 12 and 17 is
204
First common multiples: 204, 408, 612, …
204 is divisible by both: 204 ÷ 12 = 17, 204 ÷ 17 = 12 — and 17 and 12 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/12 by 17 and of y/17 by 12.
12 and 17 are coprime (GCF = 1), so their LCM is simply the product: 12 × 17 = 204.
12 = 22 × 3
17 — prime
| Prime | 12 | 17 | Highest power |
|---|---|---|---|
| 2 | 22 | — | 22 |
| 3 | 3 | — | 3 |
| 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 × 3 × 17 = 204
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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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