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 |
|---|---|
| 182 and 138 | 12558 |
| 193 and 187 | 36091 |
| 134 and 146 | 9782 |
| 180 and 62 | 5580 |
| 59 and 115 | 6785 |