Least Common Multiple (LCM) of 103 and 181
The least common multiple (LCM) of 103 and 181 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 103 and 181?
First, calculate the GCD of 103 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 181 = 0 remainder 103 |
| 2 | 181 ÷ 103 = 1 remainder 78 |
| 3 | 103 ÷ 78 = 1 remainder 25 |
| 4 | 78 ÷ 25 = 3 remainder 3 |
| 5 | 25 ÷ 3 = 8 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 97 | 11155 |
| 49 and 12 | 588 |
| 199 and 37 | 7363 |
| 147 and 200 | 29400 |
| 50 and 164 | 4100 |