LCM for 55 and 75
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What's the Least Common Multiple (LCM) of 55 and 75?
Answer
LCM of 55 and 75 is
825
First common multiples: 825; 1,650; 2,475; …
825 is divisible by both: 825 ÷ 55 = 15, 825 ÷ 75 = 11 — and 15 and 11 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/55 by 15 and of y/75 by 11.
55 = 5 × 11
75 = 3 × 52
| Prime | 55 | 75 | Highest power |
|---|---|---|---|
| 3 | — | 3 | 3 |
| 5 | 5 | 52 | 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 = 3 × 52 × 11 = 825
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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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