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 |
|---|---|
| 124 and 174 | 10788 |
| 176 and 25 | 4400 |
| 149 and 194 | 28906 |
| 162 and 26 | 2106 |
| 123 and 75 | 3075 |