Least Common Multiple (LCM) of 108 and 86
The least common multiple (LCM) of 108 and 86 is 4644.
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 108 and 86?
First, calculate the GCD of 108 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 108 ÷ 86 = 1 remainder 22 |
| 2 | 86 ÷ 22 = 3 remainder 20 |
| 3 | 22 ÷ 20 = 1 remainder 2 |
| 4 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 200 | 35800 |
| 36 and 102 | 612 |
| 140 and 105 | 420 |
| 21 and 89 | 1869 |
| 84 and 138 | 1932 |