Least Common Multiple (LCM) of 184 and 198
The least common multiple (LCM) of 184 and 198 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 184 and 198?
First, calculate the GCD of 184 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 198 = 0 remainder 184 |
| 2 | 198 ÷ 184 = 1 remainder 14 |
| 3 | 184 ÷ 14 = 13 remainder 2 |
| 4 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 50 | 8950 |
| 200 and 105 | 4200 |
| 47 and 42 | 1974 |
| 27 and 41 | 1107 |
| 40 and 62 | 1240 |