Least Common Multiple (LCM) of 81 and 108
The least common multiple (LCM) of 81 and 108 is 324.
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 81 and 108?
First, calculate the GCD of 81 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 108 = 0 remainder 81 |
| 2 | 108 ÷ 81 = 1 remainder 27 |
| 3 | 81 ÷ 27 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 139 | 14873 |
| 158 and 45 | 7110 |
| 48 and 31 | 1488 |
| 184 and 174 | 16008 |
| 122 and 33 | 4026 |