Least Common Multiple (LCM) of 124 and 125
The least common multiple (LCM) of 124 and 125 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 124 and 125?
First, calculate the GCD of 124 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 125 = 0 remainder 124 |
| 2 | 125 ÷ 124 = 1 remainder 1 |
| 3 | 124 ÷ 1 = 124 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 100 | 8900 |
| 148 and 100 | 3700 |
| 150 and 148 | 11100 |
| 130 and 150 | 1950 |
| 42 and 98 | 294 |