LCM for 35 and 38
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What's the Least Common Multiple (LCM) of 35 and 38?
Answer
LCM of 35 and 38 is
1,330
First common multiples: 1,330; 2,660; 3,990; …
1,330 is divisible by both: 1,330 ÷ 35 = 38; 1,330 ÷ 38 = 35 — and 38 and 35 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/35 by 38 and of y/38 by 35.
35 and 38 are coprime (GCF = 1), so their LCM is simply the product: 35 × 38 = 1,330.
35 = 5 × 7
38 = 2 × 19
| Prime | 35 | 38 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 5 | 5 | — | 5 |
| 7 | 7 | — | 7 |
| 19 | — | 19 | 19 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 5 × 7 × 19 = 1,330
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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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