Least Common Multiple (LCM) of 86 and 131
The least common multiple (LCM) of 86 and 131 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 86 and 131?
First, calculate the GCD of 86 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 131 = 0 remainder 86 |
| 2 | 131 ÷ 86 = 1 remainder 45 |
| 3 | 86 ÷ 45 = 1 remainder 41 |
| 4 | 45 ÷ 41 = 1 remainder 4 |
| 5 | 41 ÷ 4 = 10 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 109 | 15805 |
| 77 and 155 | 11935 |
| 113 and 19 | 2147 |
| 102 and 146 | 7446 |
| 36 and 182 | 3276 |