Least Common Multiple (LCM) of 122 and 136
The least common multiple (LCM) of 122 and 136 is 8296.
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 136?
First, calculate the GCD of 122 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 136 = 0 remainder 122 |
| 2 | 136 ÷ 122 = 1 remainder 14 |
| 3 | 122 ÷ 14 = 8 remainder 10 |
| 4 | 14 ÷ 10 = 1 remainder 4 |
| 5 | 10 ÷ 4 = 2 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 142 | 4402 |
| 39 and 142 | 5538 |
| 25 and 158 | 3950 |
| 53 and 192 | 10176 |
| 165 and 75 | 825 |