Least Common Multiple (LCM) of 86 and 115
The least common multiple (LCM) of 86 and 115 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 86 and 115?
First, calculate the GCD of 86 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 115 = 0 remainder 86 |
| 2 | 115 ÷ 86 = 1 remainder 29 |
| 3 | 86 ÷ 29 = 2 remainder 28 |
| 4 | 29 ÷ 28 = 1 remainder 1 |
| 5 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 65 | 11505 |
| 162 and 98 | 7938 |
| 34 and 170 | 170 |
| 156 and 60 | 780 |
| 81 and 81 | 81 |