Least Common Multiple (LCM) of 125 and 129
The least common multiple (LCM) of 125 and 129 is 16125.
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 125 and 129?
First, calculate the GCD of 125 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 129 = 0 remainder 125 |
| 2 | 129 ÷ 125 = 1 remainder 4 |
| 3 | 125 ÷ 4 = 31 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 140 | 2660 |
| 45 and 31 | 1395 |
| 72 and 198 | 792 |
| 98 and 39 | 3822 |
| 52 and 12 | 156 |