Least Common Multiple (LCM) of 122 and 129
The least common multiple (LCM) of 122 and 129 is 15738.
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 129?
First, calculate the GCD of 122 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 129 = 0 remainder 122 |
| 2 | 129 ÷ 122 = 1 remainder 7 |
| 3 | 122 ÷ 7 = 17 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 85 and 124 | 10540 |
| 188 and 154 | 14476 |
| 33 and 65 | 2145 |
| 169 and 177 | 29913 |
| 67 and 42 | 2814 |