Least Common Multiple (LCM) of 64 and 81
The least common multiple (LCM) of 64 and 81 is 5184.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 64 and 81?
First, calculate the GCD of 64 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 81 = 0 remainder 64 |
| 2 | 81 ÷ 64 = 1 remainder 17 |
| 3 | 64 ÷ 17 = 3 remainder 13 |
| 4 | 17 ÷ 13 = 1 remainder 4 |
| 5 | 13 ÷ 4 = 3 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 84 | 588 |
| 15 and 120 | 120 |
| 111 and 91 | 10101 |
| 164 and 167 | 27388 |
| 118 and 85 | 10030 |