LCM for 14 and 217
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What's the Least Common Multiple (LCM) of 14 and 217?
Answer
LCM of 14 and 217 is
434
First common multiples: 434; 868; 1,302; …
434 is divisible by both: 434 ÷ 14 = 31, 434 ÷ 217 = 2 — and 31 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/14 by 31 and of y/217 by 2.
14 = 2 × 7
217 = 7 × 31
| Prime | 14 | 217 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 7 | 7 | 7 | 7 |
| 31 | — | 31 | 31 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 7 × 31 = 434
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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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