Least Common Multiple (LCM) of 181 and 65
The least common multiple (LCM) of 181 and 65 is 11765.
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 65?
First, calculate the GCD of 181 and 65 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 65 = 2 remainder 51 |
| 2 | 65 ÷ 51 = 1 remainder 14 |
| 3 | 51 ÷ 14 = 3 remainder 9 |
| 4 | 14 ÷ 9 = 1 remainder 5 |
| 5 | 9 ÷ 5 = 1 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 17 | 629 |
| 31 and 28 | 868 |
| 78 and 149 | 11622 |
| 135 and 16 | 2160 |
| 111 and 144 | 5328 |