Least Common Multiple (LCM) of 125 and 50
The least common multiple (LCM) of 125 and 50 is 250.
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 50?
First, calculate the GCD of 125 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 50 = 2 remainder 25 |
| 2 | 50 ÷ 25 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 123 | 738 |
| 94 and 198 | 9306 |
| 191 and 16 | 3056 |
| 135 and 20 | 540 |
| 18 and 70 | 630 |