Least Common Multiple (LCM) of 115 and 86
The least common multiple (LCM) of 115 and 86 is 9890.
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 115 and 86?
First, calculate the GCD of 115 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 86 = 1 remainder 29 |
| 2 | 86 ÷ 29 = 2 remainder 28 |
| 3 | 29 ÷ 28 = 1 remainder 1 |
| 4 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 68 | 2788 |
| 177 and 86 | 15222 |
| 122 and 126 | 7686 |
| 149 and 86 | 12814 |
| 100 and 67 | 6700 |