Least Common Multiple (LCM) of 125 and 100
The least common multiple (LCM) of 125 and 100 is 500.
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 100?
First, calculate the GCD of 125 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 100 = 1 remainder 25 |
| 2 | 100 ÷ 25 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 188 | 14100 |
| 22 and 44 | 44 |
| 180 and 142 | 12780 |
| 146 and 59 | 8614 |
| 106 and 25 | 2650 |