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 |
|---|---|
| 170 and 137 | 23290 |
| 189 and 163 | 30807 |
| 123 and 133 | 16359 |
| 188 and 109 | 20492 |
| 111 and 157 | 17427 |