LCM for 18 and 35
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What's the Least Common Multiple (LCM) of 18 and 35?
Answer
LCM of 18 and 35 is
630
First common multiples: 630; 1,260; 1,890; …
630 is divisible by both: 630 ÷ 18 = 35, 630 ÷ 35 = 18 — and 35 and 18 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/18 by 35 and of y/35 by 18.
18 and 35 are coprime (GCF = 1), so their LCM is simply the product: 18 × 35 = 630.
18 = 2 × 32
35 = 5 × 7
| Prime | 18 | 35 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | 32 | — | 32 |
| 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 = 2 × 32 × 5 × 7 = 630
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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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