Least Common Multiple (LCM) of 181 and 198
The least common multiple (LCM) of 181 and 198 is 35838.
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 181 and 198?
First, calculate the GCD of 181 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 198 = 0 remainder 181 |
| 2 | 198 ÷ 181 = 1 remainder 17 |
| 3 | 181 ÷ 17 = 10 remainder 11 |
| 4 | 17 ÷ 11 = 1 remainder 6 |
| 5 | 11 ÷ 6 = 1 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 133 | 2261 |
| 180 and 98 | 8820 |
| 197 and 155 | 30535 |
| 34 and 161 | 5474 |
| 25 and 71 | 1775 |