Least Common Multiple (LCM) of 198 and 183
The least common multiple (LCM) of 198 and 183 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 198 and 183?
First, calculate the GCD of 198 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 183 = 1 remainder 15 |
| 2 | 183 ÷ 15 = 12 remainder 3 |
| 3 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 59 | 1947 |
| 125 and 78 | 9750 |
| 189 and 156 | 9828 |
| 47 and 36 | 1692 |
| 193 and 151 | 29143 |