Least Common Multiple (LCM) of 116 and 86
The least common multiple (LCM) of 116 and 86 is 4988.
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 116 and 86?
First, calculate the GCD of 116 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 86 = 1 remainder 30 |
| 2 | 86 ÷ 30 = 2 remainder 26 |
| 3 | 30 ÷ 26 = 1 remainder 4 |
| 4 | 26 ÷ 4 = 6 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 112 | 2128 |
| 97 and 139 | 13483 |
| 175 and 112 | 2800 |
| 17 and 160 | 2720 |
| 107 and 66 | 7062 |