Least Common Multiple (LCM) of 198 and 177
The least common multiple (LCM) of 198 and 177 is 11682.
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 177?
First, calculate the GCD of 198 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 177 = 1 remainder 21 |
| 2 | 177 ÷ 21 = 8 remainder 9 |
| 3 | 21 ÷ 9 = 2 remainder 3 |
| 4 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 51 | 3009 |
| 22 and 90 | 990 |
| 147 and 100 | 14700 |
| 43 and 134 | 5762 |
| 168 and 134 | 11256 |