Least Common Multiple (LCM) of 198 and 184
The least common multiple (LCM) of 198 and 184 is 18216.
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 184?
First, calculate the GCD of 198 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 184 = 1 remainder 14 |
| 2 | 184 ÷ 14 = 13 remainder 2 |
| 3 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 54 | 1674 |
| 147 and 95 | 13965 |
| 169 and 128 | 21632 |
| 175 and 172 | 30100 |
| 45 and 129 | 1935 |