Least Common Multiple (LCM) of 129 and 122
The least common multiple (LCM) of 129 and 122 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 129 and 122?
First, calculate the GCD of 129 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 122 = 1 remainder 7 |
| 2 | 122 ÷ 7 = 17 remainder 3 |
| 3 | 7 ÷ 3 = 2 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 163 | 16463 |
| 14 and 121 | 1694 |
| 101 and 138 | 13938 |
| 102 and 165 | 5610 |
| 89 and 170 | 15130 |