Least Common Multiple (LCM) of 131 and 191
The least common multiple (LCM) of 131 and 191 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 131 and 191?
First, calculate the GCD of 131 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 191 = 0 remainder 131 |
| 2 | 191 ÷ 131 = 1 remainder 60 |
| 3 | 131 ÷ 60 = 2 remainder 11 |
| 4 | 60 ÷ 11 = 5 remainder 5 |
| 5 | 11 ÷ 5 = 2 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 80 | 160 |
| 151 and 78 | 11778 |
| 187 and 199 | 37213 |
| 12 and 40 | 120 |
| 26 and 57 | 1482 |