LCM for 84 and 100
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What's the Least Common Multiple (LCM) of 84 and 100?
Answer
LCM of 84 and 100 is
2,100
First common multiples: 2,100; 4,200; 6,300; …
2,100 is divisible by both: 2,100 ÷ 84 = 25; 2,100 ÷ 100 = 21 — and 25 and 21 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/84 by 25 and of y/100 by 21.
84 = 22 × 3 × 7
100 = 22 × 52
| Prime | 84 | 100 | Highest power |
|---|---|---|---|
| 2 | 22 | 22 | 22 |
| 3 | 3 | — | 3 |
| 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 × 3 × 52 × 7 = 2,100
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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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