LCM for 36 and 112
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What's the Least Common Multiple (LCM) of 36 and 112?
Answer
LCM of 36 and 112 is
1,008
First common multiples: 1,008; 2,016; 3,024; …
1,008 is divisible by both: 1,008 ÷ 36 = 28; 1,008 ÷ 112 = 9 — and 28 and 9 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/36 by 28 and of y/112 by 9.
36 = 22 × 32
112 = 24 × 7
| Prime | 36 | 112 | Highest power |
|---|---|---|---|
| 2 | 22 | 24 | 24 |
| 3 | 32 | — | 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 = 24 × 32 × 7 = 1,008
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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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