Least Common Multiple (LCM) of 81 and 191
The least common multiple (LCM) of 81 and 191 is 15471.
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 81 and 191?
First, calculate the GCD of 81 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 191 = 0 remainder 81 |
| 2 | 191 ÷ 81 = 2 remainder 29 |
| 3 | 81 ÷ 29 = 2 remainder 23 |
| 4 | 29 ÷ 23 = 1 remainder 6 |
| 5 | 23 ÷ 6 = 3 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 180 | 1980 |
| 184 and 135 | 24840 |
| 18 and 32 | 288 |
| 54 and 104 | 2808 |
| 107 and 196 | 20972 |