LCM for 31 and 35
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What's the Least Common Multiple (LCM) of 31 and 35?
Answer
LCM of 31 and 35 is
1,085
First common multiples: 1,085; 2,170; 3,255; …
1,085 is divisible by both: 1,085 ÷ 31 = 35; 1,085 ÷ 35 = 31 — and 35 and 31 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/31 by 35 and of y/35 by 31.
31 and 35 are coprime (GCF = 1), so their LCM is simply the product: 31 × 35 = 1,085.
31 — prime
35 = 5 × 7
| Prime | 31 | 35 | Highest power |
|---|---|---|---|
| 5 | — | 5 | 5 |
| 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 = 5 × 7 × 31 = 1,085
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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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