LCM for 34 and 48
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What's the Least Common Multiple (LCM) of 34 and 48?
Answer
LCM of 34 and 48 is
816
First common multiples: 816; 1,632; 2,448; …
816 is divisible by both: 816 ÷ 34 = 24, 816 ÷ 48 = 17 — and 24 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 24 and of y/48 by 17.
34 = 2 × 17
48 = 24 × 3
| Prime | 34 | 48 | Highest power |
|---|---|---|---|
| 2 | 2 | 24 | 24 |
| 3 | — | 3 | 3 |
| 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 = 24 × 3 × 17 = 816
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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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