Least Common Multiple (LCM) of 191 and 131
The least common multiple (LCM) of 191 and 131 is 25021.
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 131?
First, calculate the GCD of 191 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 131 = 1 remainder 60 |
| 2 | 131 ÷ 60 = 2 remainder 11 |
| 3 | 60 ÷ 11 = 5 remainder 5 |
| 4 | 11 ÷ 5 = 2 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 18 | 1962 |
| 72 and 100 | 1800 |
| 36 and 183 | 2196 |
| 162 and 33 | 1782 |
| 192 and 66 | 2112 |