LCM for 100 and 155
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What's the Least Common Multiple (LCM) of 100 and 155?
Answer
LCM of 100 and 155 is
3,100
First common multiples: 3,100; 6,200; 9,300; …
3,100 is divisible by both: 3,100 ÷ 100 = 31; 3,100 ÷ 155 = 20 — and 31 and 20 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/100 by 31 and of y/155 by 20.
100 = 22 × 52
155 = 5 × 31
| Prime | 100 | 155 | Highest power |
|---|---|---|---|
| 2 | 22 | — | 22 |
| 5 | 52 | 5 | 52 |
| 31 | — | 31 | 31 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 52 × 31 = 3,100
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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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