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