LCM for 55 and 100
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What's the Least Common Multiple (LCM) of 55 and 100?
Answer
LCM of 55 and 100 is
1,100
First common multiples: 1,100; 2,200; 3,300; …
1,100 is divisible by both: 1,100 ÷ 55 = 20; 1,100 ÷ 100 = 11 — and 20 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 20 and of y/100 by 11.
55 = 5 × 11
100 = 22 × 52
| Prime | 55 | 100 | Highest power |
|---|---|---|---|
| 2 | — | 22 | 22 |
| 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 = 22 × 52 × 11 = 1,100
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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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