LCM for 8 and 35
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What's the Least Common Multiple (LCM) of 8 and 35?
Answer
LCM of 8 and 35 is
280
First common multiples: 280, 560, 840, …
280 is divisible by both: 280 ÷ 8 = 35, 280 ÷ 35 = 8 — and 35 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 35 and of y/35 by 8.
8 and 35 are coprime (GCF = 1), so their LCM is simply the product: 8 × 35 = 280.
8 = 23
35 = 5 × 7
| Prime | 8 | 35 | Highest power |
|---|---|---|---|
| 2 | 23 | — | 23 |
| 5 | — | 5 | 5 |
| 7 | — | 7 | 7 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 5 × 7 = 280
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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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