Least Common Multiple (LCM) of 115 and 125
The least common multiple (LCM) of 115 and 125 is 2875.
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 115 and 125?
First, calculate the GCD of 115 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 125 = 0 remainder 115 |
| 2 | 125 ÷ 115 = 1 remainder 10 |
| 3 | 115 ÷ 10 = 11 remainder 5 |
| 4 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 57 | 2109 |
| 193 and 108 | 20844 |
| 25 and 140 | 700 |
| 110 and 70 | 770 |
| 166 and 50 | 4150 |