Least Common Multiple (LCM) of 104 and 193
The least common multiple (LCM) of 104 and 193 is 20072.
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 104 and 193?
First, calculate the GCD of 104 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 193 = 0 remainder 104 |
| 2 | 193 ÷ 104 = 1 remainder 89 |
| 3 | 104 ÷ 89 = 1 remainder 15 |
| 4 | 89 ÷ 15 = 5 remainder 14 |
| 5 | 15 ÷ 14 = 1 remainder 1 |
| 6 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 185 | 555 |
| 18 and 78 | 234 |
| 164 and 28 | 1148 |
| 43 and 190 | 8170 |
| 185 and 50 | 1850 |