Least Common Multiple (LCM) of 183 and 198
The least common multiple (LCM) of 183 and 198 is 12078.
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 183 and 198?
First, calculate the GCD of 183 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 198 = 0 remainder 183 |
| 2 | 198 ÷ 183 = 1 remainder 15 |
| 3 | 183 ÷ 15 = 12 remainder 3 |
| 4 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 59 and 163 | 9617 |
| 174 and 187 | 32538 |
| 17 and 179 | 3043 |
| 78 and 139 | 10842 |
| 79 and 13 | 1027 |