Least Common Multiple (LCM) of 183 and 82
The least common multiple (LCM) of 183 and 82 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 183 and 82?
First, calculate the GCD of 183 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 82 = 2 remainder 19 |
| 2 | 82 ÷ 19 = 4 remainder 6 |
| 3 | 19 ÷ 6 = 3 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 191 | 33807 |
| 191 and 188 | 35908 |
| 119 and 53 | 6307 |
| 192 and 200 | 4800 |
| 120 and 59 | 7080 |