LCM for 8 and 17
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What's the Least Common Multiple (LCM) of 8 and 17?
Answer
LCM of 8 and 17 is
136
First common multiples: 136, 272, 408, …
136 is divisible by both: 136 ÷ 8 = 17, 136 ÷ 17 = 8 — and 17 and 8 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/8 by 17 and of y/17 by 8.
8 and 17 are coprime (GCF = 1), so their LCM is simply the product: 8 × 17 = 136.
8 = 23
17 — prime
| Prime | 8 | 17 | Highest power |
|---|---|---|---|
| 2 | 23 | — | 23 |
| 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 = 23 × 17 = 136
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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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