Least Common Multiple (LCM) of 166 and 198
The least common multiple (LCM) of 166 and 198 is 16434.
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 166 and 198?
First, calculate the GCD of 166 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 198 = 0 remainder 166 |
| 2 | 198 ÷ 166 = 1 remainder 32 |
| 3 | 166 ÷ 32 = 5 remainder 6 |
| 4 | 32 ÷ 6 = 5 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 155 | 28055 |
| 162 and 53 | 8586 |
| 109 and 53 | 5777 |
| 198 and 83 | 16434 |
| 73 and 83 | 6059 |