LCM for 36 and 64
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What's the Least Common Multiple (LCM) of 36 and 64?
Answer
LCM of 36 and 64 is
576
First common multiples: 576; 1,152; 1,728; …
576 is divisible by both: 576 ÷ 36 = 16, 576 ÷ 64 = 9 — and 16 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 16 and of y/64 by 9.
36 = 22 × 32
64 = 26
| Prime | 36 | 64 | Highest power |
|---|---|---|---|
| 2 | 22 | 26 | 26 |
| 3 | 32 | — | 32 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 26 × 32 = 576
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- 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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