LCM for 7 and 100
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What's the Least Common Multiple (LCM) of 7 and 100?
Answer
LCM of 7 and 100 is
700
First common multiples: 700; 1,400; 2,100; …
700 is divisible by both: 700 ÷ 7 = 100, 700 ÷ 100 = 7 — and 100 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/7 by 100 and of y/100 by 7.
7 and 100 are coprime (GCF = 1), so their LCM is simply the product: 7 × 100 = 700.
7 — prime
100 = 22 × 52
| Prime | 7 | 100 | Highest power |
|---|---|---|---|
| 2 | — | 22 | 22 |
| 5 | — | 52 | 52 |
| 7 | 7 | — | 7 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 52 × 7 = 700
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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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