Least Common Multiple (LCM) of 135 and 131
The least common multiple (LCM) of 135 and 131 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 135 and 131?
First, calculate the GCD of 135 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 135 ÷ 131 = 1 remainder 4 |
| 2 | 131 ÷ 4 = 32 remainder 3 |
| 3 | 4 ÷ 3 = 1 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 82 | 5740 |
| 78 and 121 | 9438 |
| 18 and 151 | 2718 |
| 169 and 187 | 31603 |
| 40 and 59 | 2360 |