Least Common Multiple (LCM) of 82 and 40
The least common multiple (LCM) of 82 and 40 is 1640.
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 82 and 40?
First, calculate the GCD of 82 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 82 ÷ 40 = 2 remainder 2 |
| 2 | 40 ÷ 2 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 81 | 8343 |
| 159 and 159 | 159 |
| 16 and 179 | 2864 |
| 65 and 197 | 12805 |
| 126 and 54 | 378 |