LCM for 72 and 84
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What's the Least Common Multiple (LCM) of 72 and 84?
Answer
LCM of 72 and 84 is
504
First common multiples: 504; 1,008; 1,512; …
504 is divisible by both: 504 ÷ 72 = 7, 504 ÷ 84 = 6 — and 7 and 6 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/72 by 7 and of y/84 by 6.
72 = 23 × 32
84 = 22 × 3 × 7
| Prime | 72 | 84 | Highest power |
|---|---|---|---|
| 2 | 23 | 22 | 23 |
| 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 = 23 × 32 × 7 = 504
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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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