Least Common Multiple (LCM) of 131 and 135
The least common multiple (LCM) of 131 and 135 is 17685.
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 131 and 135?
First, calculate the GCD of 131 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 135 = 0 remainder 131 |
| 2 | 135 ÷ 131 = 1 remainder 4 |
| 3 | 131 ÷ 4 = 32 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 45 | 2520 |
| 75 and 192 | 4800 |
| 182 and 29 | 5278 |
| 142 and 101 | 14342 |
| 189 and 193 | 36477 |