Least Common Multiple (LCM) of 81 and 40
The least common multiple (LCM) of 81 and 40 is 3240.
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 40?
First, calculate the GCD of 81 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 40 = 2 remainder 1 |
| 2 | 40 ÷ 1 = 40 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 178 | 14596 |
| 199 and 111 | 22089 |
| 81 and 40 | 3240 |
| 85 and 131 | 11135 |
| 111 and 105 | 3885 |