Least Common Multiple (LCM) of 11 and 181
The least common multiple (LCM) of 11 and 181 is 1991.
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 11 and 181?
First, calculate the GCD of 11 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 11 ÷ 181 = 0 remainder 11 |
| 2 | 181 ÷ 11 = 16 remainder 5 |
| 3 | 11 ÷ 5 = 2 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 79 | 13667 |
| 72 and 198 | 792 |
| 126 and 82 | 5166 |
| 43 and 27 | 1161 |
| 199 and 162 | 32238 |