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 |
|---|---|
| 12 and 39 | 156 |
| 135 and 100 | 2700 |
| 170 and 168 | 14280 |
| 139 and 52 | 7228 |
| 180 and 82 | 7380 |