Least Common Multiple (LCM) of 124 and 129
The least common multiple (LCM) of 124 and 129 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 124 and 129?
First, calculate the GCD of 124 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 129 = 0 remainder 124 |
| 2 | 129 ÷ 124 = 1 remainder 5 |
| 3 | 124 ÷ 5 = 24 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 58 and 148 | 4292 |
| 184 and 174 | 16008 |
| 142 and 101 | 14342 |
| 159 and 173 | 27507 |
| 158 and 177 | 27966 |