Least Common Multiple (LCM) of 122 and 82
The least common multiple (LCM) of 122 and 82 is 5002.
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 122 and 82?
First, calculate the GCD of 122 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 82 = 1 remainder 40 |
| 2 | 82 ÷ 40 = 2 remainder 2 |
| 3 | 40 ÷ 2 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 118 | 19470 |
| 67 and 129 | 8643 |
| 62 and 148 | 4588 |
| 84 and 157 | 13188 |
| 62 and 68 | 2108 |