LCM for 34 and 55
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What's the Least Common Multiple (LCM) of 34 and 55?
Answer
LCM of 34 and 55 is
1,870
First common multiples: 1,870; 3,740; 5,610; …
1,870 is divisible by both: 1,870 ÷ 34 = 55; 1,870 ÷ 55 = 34 — and 55 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 55 and of y/55 by 34.
34 and 55 are coprime (GCF = 1), so their LCM is simply the product: 34 × 55 = 1,870.
34 = 2 × 17
55 = 5 × 11
| Prime | 34 | 55 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 5 | — | 5 | 5 |
| 11 | — | 11 | 11 |
| 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 × 5 × 11 × 17 = 1,870
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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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