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 |
|---|---|
| 164 and 99 | 16236 |
| 97 and 106 | 10282 |
| 145 and 43 | 6235 |
| 113 and 176 | 19888 |
| 146 and 64 | 4672 |