Least Common Multiple (LCM) of 197 and 131
The least common multiple (LCM) of 197 and 131 is 25807.
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 197 and 131?
First, calculate the GCD of 197 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 131 = 1 remainder 66 |
| 2 | 131 ÷ 66 = 1 remainder 65 |
| 3 | 66 ÷ 65 = 1 remainder 1 |
| 4 | 65 ÷ 1 = 65 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 90 | 720 |
| 20 and 175 | 700 |
| 109 and 71 | 7739 |
| 111 and 187 | 20757 |
| 34 and 13 | 442 |