Least Common Multiple (LCM) of 131 and 82
The least common multiple (LCM) of 131 and 82 is 10742.
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 82?
First, calculate the GCD of 131 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 82 = 1 remainder 49 |
| 2 | 82 ÷ 49 = 1 remainder 33 |
| 3 | 49 ÷ 33 = 1 remainder 16 |
| 4 | 33 ÷ 16 = 2 remainder 1 |
| 5 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 195 | 2730 |
| 64 and 53 | 3392 |
| 133 and 181 | 24073 |
| 199 and 22 | 4378 |
| 29 and 11 | 319 |