LCM for 34 and 38
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What's the Least Common Multiple (LCM) of 34 and 38?
Answer
LCM of 34 and 38 is
646
First common multiples: 646; 1,292; 1,938; …
646 is divisible by both: 646 ÷ 34 = 19, 646 ÷ 38 = 17 — and 19 and 17 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/34 by 19 and of y/38 by 17.
34 = 2 × 17
38 = 2 × 19
| Prime | 34 | 38 | Highest power |
|---|---|---|---|
| 2 | 2 | 2 | 2 |
| 17 | 17 | — | 17 |
| 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 × 17 × 19 = 646
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- 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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