LCM for 26 and 36
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What's the Least Common Multiple (LCM) of 26 and 36?
Answer
LCM of 26 and 36 is
468
First common multiples: 468; 936; 1,404; …
468 is divisible by both: 468 ÷ 26 = 18, 468 ÷ 36 = 13 — and 18 and 13 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/26 by 18 and of y/36 by 13.
26 = 2 × 13
36 = 22 × 32
| Prime | 26 | 36 | Highest power |
|---|---|---|---|
| 2 | 2 | 22 | 22 |
| 3 | — | 32 | 32 |
| 13 | 13 | — | 13 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 32 × 13 = 468
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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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