Least Common Multiple (LCM) of 181 and 116
The least common multiple (LCM) of 181 and 116 is 20996.
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 116?
First, calculate the GCD of 181 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 116 = 1 remainder 65 |
| 2 | 116 ÷ 65 = 1 remainder 51 |
| 3 | 65 ÷ 51 = 1 remainder 14 |
| 4 | 51 ÷ 14 = 3 remainder 9 |
| 5 | 14 ÷ 9 = 1 remainder 5 |
| 6 | 9 ÷ 5 = 1 remainder 4 |
| 7 | 5 ÷ 4 = 1 remainder 1 |
| 8 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 95 and 25 | 475 |
| 191 and 181 | 34571 |
| 95 and 57 | 285 |
| 165 and 40 | 1320 |
| 85 and 96 | 8160 |