LCM for 36 and 121
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What's the Least Common Multiple (LCM) of 36 and 121?
Answer
LCM of 36 and 121 is
4,356
First common multiples: 4,356; 8,712; 13,068; …
4,356 is divisible by both: 4,356 ÷ 36 = 121; 4,356 ÷ 121 = 36 — and 121 and 36 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/36 by 121 and of y/121 by 36.
36 and 121 are coprime (GCF = 1), so their LCM is simply the product: 36 × 121 = 4,356.
36 = 22 × 32
121 = 112
| Prime | 36 | 121 | Highest power |
|---|---|---|---|
| 2 | 22 | — | 22 |
| 3 | 32 | — | 32 |
| 11 | — | 112 | 112 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 32 × 112 = 4,356
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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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