LCM for 34 and 63
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What's the Least Common Multiple (LCM) of 34 and 63?
Answer
LCM of 34 and 63 is
2,142
First common multiples: 2,142; 4,284; 6,426; …
2,142 is divisible by both: 2,142 ÷ 34 = 63; 2,142 ÷ 63 = 34 — and 63 and 34 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/34 by 63 and of y/63 by 34.
34 and 63 are coprime (GCF = 1), so their LCM is simply the product: 34 × 63 = 2,142.
34 = 2 × 17
63 = 32 × 7
| Prime | 34 | 63 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | — | 32 | 32 |
| 7 | — | 7 | 7 |
| 17 | 17 | — | 17 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 32 × 7 × 17 = 2,142
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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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