LCM for 36 and 84
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What's the Least Common Multiple (LCM) of 36 and 84?
Answer
LCM of 36 and 84 is
252
First common multiples: 252, 504, 756, …
252 is divisible by both: 252 ÷ 36 = 7, 252 ÷ 84 = 3 — and 7 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/36 by 7 and of y/84 by 3.
36 = 22 × 32
84 = 22 × 3 × 7
| Prime | 36 | 84 | Highest power |
|---|---|---|---|
| 2 | 22 | 22 | 22 |
| 3 | 32 | 3 | 32 |
| 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 × 32 × 7 = 252
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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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