Least Common Multiple (LCM) of 193 and 194
The least common multiple (LCM) of 193 and 194 is 37442.
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 193 and 194?
First, calculate the GCD of 193 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 194 = 0 remainder 193 |
| 2 | 194 ÷ 193 = 1 remainder 1 |
| 3 | 193 ÷ 1 = 193 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 76 | 14364 |
| 195 and 124 | 24180 |
| 125 and 71 | 8875 |
| 51 and 45 | 765 |
| 12 and 112 | 336 |