LCM for 81 and 64
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What's the Least Common Multiple (LCM) of 81 and 64?
Answer
LCM of 81 and 64 is
5,184
First common multiples: 5,184; 10,368; 15,552; …
5,184 is divisible by both: 5,184 ÷ 81 = 64; 5,184 ÷ 64 = 81 — and 64 and 81 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/81 by 64 and of y/64 by 81.
81 and 64 are coprime (GCF = 1), so their LCM is simply the product: 81 × 64 = 5,184.
81 = 34
64 = 26
| Prime | 81 | 64 | Highest power |
|---|---|---|---|
| 2 | — | 26 | 26 |
| 3 | 34 | — | 34 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 26 × 34 = 5,184
More with these numbers
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
LCM Table
FAQ
What's the Least Common Multiple (LCM) of 81 and 64?
LCM of 81 and 64 is 5,184
How to find the LCM of 81 and 64 using prime factorization?
To find the LCM of 81 and 64, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 5,184.
What is the difference between LCM and GCF?
LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 81 and 64: LCM = 5,184, GCF = 1.
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