Least Common Multiple (LCM) of 125 and 124
The least common multiple (LCM) of 125 and 124 is 15500.
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 124?
First, calculate the GCD of 125 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 124 = 1 remainder 1 |
| 2 | 124 ÷ 1 = 124 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 165 | 8745 |
| 57 and 91 | 5187 |
| 149 and 128 | 19072 |
| 99 and 148 | 14652 |
| 45 and 165 | 495 |