Least Common Multiple (LCM) of 181 and 103
The least common multiple (LCM) of 181 and 103 is 18643.
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 103?
First, calculate the GCD of 181 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 103 = 1 remainder 78 |
| 2 | 103 ÷ 78 = 1 remainder 25 |
| 3 | 78 ÷ 25 = 3 remainder 3 |
| 4 | 25 ÷ 3 = 8 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 101 | 2121 |
| 192 and 55 | 10560 |
| 189 and 161 | 4347 |
| 119 and 186 | 22134 |
| 140 and 89 | 12460 |