Least Common Multiple (LCM) of 82 and 183
The least common multiple (LCM) of 82 and 183 is 15006.
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 82 and 183?
First, calculate the GCD of 82 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 82 ÷ 183 = 0 remainder 82 |
| 2 | 183 ÷ 82 = 2 remainder 19 |
| 3 | 82 ÷ 19 = 4 remainder 6 |
| 4 | 19 ÷ 6 = 3 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 109 | 4905 |
| 63 and 105 | 315 |
| 20 and 198 | 1980 |
| 134 and 197 | 26398 |
| 50 and 193 | 9650 |