LCM for 40 and 100
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What's the Least Common Multiple (LCM) of 40 and 100?
Answer
LCM of 40 and 100 is
200
First common multiples: 200, 400, 600, …
200 is divisible by both: 200 ÷ 40 = 5, 200 ÷ 100 = 2 — and 5 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/40 by 5 and of y/100 by 2.
40 = 23 × 5
100 = 22 × 52
| Prime | 40 | 100 | Highest power |
|---|---|---|---|
| 2 | 23 | 22 | 23 |
| 5 | 5 | 52 | 52 |
LCM = 23 × 52 = 200
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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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