Least Common Multiple (LCM) of 108 and 181
The least common multiple (LCM) of 108 and 181 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 108 and 181?
First, calculate the GCD of 108 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 108 ÷ 181 = 0 remainder 108 |
| 2 | 181 ÷ 108 = 1 remainder 73 |
| 3 | 108 ÷ 73 = 1 remainder 35 |
| 4 | 73 ÷ 35 = 2 remainder 3 |
| 5 | 35 ÷ 3 = 11 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 188 | 5452 |
| 90 and 10 | 90 |
| 177 and 186 | 10974 |
| 47 and 186 | 8742 |
| 103 and 200 | 20600 |