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 |
|---|---|
| 138 and 134 | 9246 |
| 142 and 98 | 6958 |
| 84 and 190 | 7980 |
| 81 and 60 | 1620 |
| 199 and 136 | 27064 |