Least Common Multiple (LCM) of 131 and 195
The least common multiple (LCM) of 131 and 195 is 25545.
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 195?
First, calculate the GCD of 131 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 195 = 0 remainder 131 |
| 2 | 195 ÷ 131 = 1 remainder 64 |
| 3 | 131 ÷ 64 = 2 remainder 3 |
| 4 | 64 ÷ 3 = 21 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 154 | 4774 |
| 112 and 122 | 6832 |
| 18 and 117 | 234 |
| 113 and 159 | 17967 |
| 35 and 35 | 35 |