Least Common Multiple (LCM) of 185 and 198
The least common multiple (LCM) of 185 and 198 is 36630.
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 185 and 198?
First, calculate the GCD of 185 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 198 = 0 remainder 185 |
| 2 | 198 ÷ 185 = 1 remainder 13 |
| 3 | 185 ÷ 13 = 14 remainder 3 |
| 4 | 13 ÷ 3 = 4 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 176 | 880 |
| 122 and 33 | 4026 |
| 65 and 38 | 2470 |
| 81 and 139 | 11259 |
| 17 and 189 | 3213 |