Least Common Multiple (LCM) of 194 and 193
The least common multiple (LCM) of 194 and 193 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 194 and 193?
First, calculate the GCD of 194 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 193 = 1 remainder 1 |
| 2 | 193 ÷ 1 = 193 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 178 | 3738 |
| 83 and 109 | 9047 |
| 136 and 108 | 3672 |
| 106 and 67 | 7102 |
| 184 and 99 | 18216 |