LCM for 36 and 49
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What's the Least Common Multiple (LCM) of 36 and 49?
Answer
LCM of 36 and 49 is
1,764
First common multiples: 1,764; 3,528; 5,292; …
1,764 is divisible by both: 1,764 ÷ 36 = 49; 1,764 ÷ 49 = 36 — and 49 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 49 and of y/49 by 36.
36 and 49 are coprime (GCF = 1), so their LCM is simply the product: 36 × 49 = 1,764.
36 = 22 × 32
49 = 72
| Prime | 36 | 49 | Highest power |
|---|---|---|---|
| 2 | 22 | — | 22 |
| 3 | 32 | — | 32 |
| 7 | — | 72 | 72 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 32 × 72 = 1,764
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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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