Least Common Multiple (LCM) of 86 and 189
The least common multiple (LCM) of 86 and 189 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 86 and 189?
First, calculate the GCD of 86 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 189 = 0 remainder 86 |
| 2 | 189 ÷ 86 = 2 remainder 17 |
| 3 | 86 ÷ 17 = 5 remainder 1 |
| 4 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 74 | 4736 |
| 96 and 99 | 3168 |
| 182 and 158 | 14378 |
| 135 and 191 | 25785 |
| 188 and 41 | 7708 |