Least Common Multiple (LCM) of 129 and 124
The least common multiple (LCM) of 129 and 124 is 15996.
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 124?
First, calculate the GCD of 129 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 124 = 1 remainder 5 |
| 2 | 124 ÷ 5 = 24 remainder 4 |
| 3 | 5 ÷ 4 = 1 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 74 | 4440 |
| 137 and 108 | 14796 |
| 166 and 70 | 5810 |
| 109 and 41 | 4469 |
| 136 and 98 | 6664 |