Least Common Multiple (LCM) of 181 and 108
The least common multiple (LCM) of 181 and 108 is 19548.
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 108?
First, calculate the GCD of 181 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 108 = 1 remainder 73 |
| 2 | 108 ÷ 73 = 1 remainder 35 |
| 3 | 73 ÷ 35 = 2 remainder 3 |
| 4 | 35 ÷ 3 = 11 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 53 | 9381 |
| 182 and 89 | 16198 |
| 53 and 142 | 7526 |
| 17 and 85 | 85 |
| 51 and 119 | 357 |