Least Common Multiple (LCM) of 131 and 86
The least common multiple (LCM) of 131 and 86 is 11266.
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 86?
First, calculate the GCD of 131 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 86 = 1 remainder 45 |
| 2 | 86 ÷ 45 = 1 remainder 41 |
| 3 | 45 ÷ 41 = 1 remainder 4 |
| 4 | 41 ÷ 4 = 10 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 133 | 15295 |
| 196 and 169 | 33124 |
| 20 and 157 | 3140 |
| 63 and 41 | 2583 |
| 186 and 31 | 186 |