Least Common Multiple (LCM) of 103 and 183
The least common multiple (LCM) of 103 and 183 is 18849.
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 183?
First, calculate the GCD of 103 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 183 = 0 remainder 103 |
| 2 | 183 ÷ 103 = 1 remainder 80 |
| 3 | 103 ÷ 80 = 1 remainder 23 |
| 4 | 80 ÷ 23 = 3 remainder 11 |
| 5 | 23 ÷ 11 = 2 remainder 1 |
| 6 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 193 | 34740 |
| 74 and 14 | 518 |
| 92 and 68 | 1564 |
| 78 and 50 | 1950 |
| 45 and 119 | 5355 |