Least Common Multiple (LCM) of 86 and 191
The least common multiple (LCM) of 86 and 191 is 16426.
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 191?
First, calculate the GCD of 86 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 191 = 0 remainder 86 |
| 2 | 191 ÷ 86 = 2 remainder 19 |
| 3 | 86 ÷ 19 = 4 remainder 10 |
| 4 | 19 ÷ 10 = 1 remainder 9 |
| 5 | 10 ÷ 9 = 1 remainder 1 |
| 6 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 89 | 16821 |
| 113 and 159 | 17967 |
| 25 and 23 | 575 |
| 59 and 57 | 3363 |
| 193 and 174 | 33582 |