Least Common Multiple (LCM) of 191 and 86
The least common multiple (LCM) of 191 and 86 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 191 and 86?
First, calculate the GCD of 191 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 86 = 2 remainder 19 |
| 2 | 86 ÷ 19 = 4 remainder 10 |
| 3 | 19 ÷ 10 = 1 remainder 9 |
| 4 | 10 ÷ 9 = 1 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 98 | 8722 |
| 73 and 199 | 14527 |
| 160 and 181 | 28960 |
| 105 and 59 | 6195 |
| 42 and 25 | 1050 |