LCM for 17 and 46
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What's the Least Common Multiple (LCM) of 17 and 46?
Answer
LCM of 17 and 46 is
782
First common multiples: 782; 1,564; 2,346; …
782 is divisible by both: 782 ÷ 17 = 46, 782 ÷ 46 = 17 — and 46 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 46 and of y/46 by 17.
17 and 46 are coprime (GCF = 1), so their LCM is simply the product: 17 × 46 = 782.
17 — prime
46 = 2 × 23
| Prime | 17 | 46 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 17 | 17 | — | 17 |
| 23 | — | 23 | 23 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 17 × 23 = 782
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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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