Least Common Multiple (LCM) of 131 and 197
The least common multiple (LCM) of 131 and 197 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 131 and 197?
First, calculate the GCD of 131 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 197 = 0 remainder 131 |
| 2 | 197 ÷ 131 = 1 remainder 66 |
| 3 | 131 ÷ 66 = 1 remainder 65 |
| 4 | 66 ÷ 65 = 1 remainder 1 |
| 5 | 65 ÷ 1 = 65 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 19 | 2261 |
| 131 and 64 | 8384 |
| 137 and 49 | 6713 |
| 67 and 12 | 804 |
| 180 and 104 | 4680 |