LCM for 18 and 100
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What's the Least Common Multiple (LCM) of 18 and 100?
Answer
LCM of 18 and 100 is
900
First common multiples: 900; 1,800; 2,700; …
900 is divisible by both: 900 ÷ 18 = 50, 900 ÷ 100 = 9 — and 50 and 9 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/18 by 50 and of y/100 by 9.
18 = 2 × 32
100 = 22 × 52
| Prime | 18 | 100 | Highest power |
|---|---|---|---|
| 2 | 2 | 22 | 22 |
| 3 | 32 | — | 32 |
| 5 | — | 52 | 52 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 32 × 52 = 900
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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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