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 |
|---|---|
| 176 and 142 | 12496 |
| 125 and 15 | 375 |
| 163 and 111 | 18093 |
| 35 and 108 | 3780 |
| 134 and 23 | 3082 |