Least Common Multiple (LCM) of 198 and 182
The least common multiple (LCM) of 198 and 182 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 198 and 182?
First, calculate the GCD of 198 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 182 = 1 remainder 16 |
| 2 | 182 ÷ 16 = 11 remainder 6 |
| 3 | 16 ÷ 6 = 2 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 93 | 3441 |
| 17 and 197 | 3349 |
| 176 and 67 | 11792 |
| 141 and 200 | 28200 |
| 174 and 163 | 28362 |