Least Common Multiple (LCM) of 135 and 125
The least common multiple (LCM) of 135 and 125 is 3375.
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 135 and 125?
First, calculate the GCD of 135 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 135 ÷ 125 = 1 remainder 10 |
| 2 | 125 ÷ 10 = 12 remainder 5 |
| 3 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 59 | 2183 |
| 125 and 42 | 5250 |
| 153 and 55 | 8415 |
| 118 and 174 | 10266 |
| 52 and 181 | 9412 |