Least Common Multiple (LCM) of 189 and 86
The least common multiple (LCM) of 189 and 86 is 16254.
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 189 and 86?
First, calculate the GCD of 189 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 86 = 2 remainder 17 |
| 2 | 86 ÷ 17 = 5 remainder 1 |
| 3 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 103 | 11948 |
| 103 and 139 | 14317 |
| 141 and 141 | 141 |
| 177 and 198 | 11682 |
| 128 and 164 | 5248 |