LCM for 34 and 51
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What's the Least Common Multiple (LCM) of 34 and 51?
Answer
LCM of 34 and 51 is
102
First common multiples: 102, 204, 306, …
102 is divisible by both: 102 ÷ 34 = 3, 102 ÷ 51 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/34 by 3 and of y/51 by 2.
34 = 2 × 17
51 = 3 × 17
| Prime | 34 | 51 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | — | 3 | 3 |
| 17 | 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 × 3 × 17 = 102
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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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