LCM for 17 and 24
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What's the Least Common Multiple (LCM) of 17 and 24?
Answer
LCM of 17 and 24 is
408
First common multiples: 408; 816; 1,224; …
408 is divisible by both: 408 ÷ 17 = 24, 408 ÷ 24 = 17 — and 24 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 24 and of y/24 by 17.
17 and 24 are coprime (GCF = 1), so their LCM is simply the product: 17 × 24 = 408.
17 — prime
24 = 23 × 3
| Prime | 17 | 24 | Highest power |
|---|---|---|---|
| 2 | — | 23 | 23 |
| 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 = 23 × 3 × 17 = 408
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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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