LCM for 50 and 55
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What's the Least Common Multiple (LCM) of 50 and 55?
Answer
LCM of 50 and 55 is
550
First common multiples: 550; 1,100; 1,650; …
550 is divisible by both: 550 ÷ 50 = 11, 550 ÷ 55 = 10 — and 11 and 10 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/50 by 11 and of y/55 by 10.
50 = 2 × 52
55 = 5 × 11
| Prime | 50 | 55 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 5 | 52 | 5 | 52 |
| 11 | — | 11 | 11 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 52 × 11 = 550
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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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