Least Common Multiple (LCM) of 182 and 198
The least common multiple (LCM) of 182 and 198 is 18018.
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 182 and 198?
First, calculate the GCD of 182 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 198 = 0 remainder 182 |
| 2 | 198 ÷ 182 = 1 remainder 16 |
| 3 | 182 ÷ 16 = 11 remainder 6 |
| 4 | 16 ÷ 6 = 2 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 126 | 15246 |
| 193 and 112 | 21616 |
| 147 and 45 | 2205 |
| 84 and 163 | 13692 |
| 18 and 45 | 90 |