Least Common Multiple (LCM) of 194 and 173
The least common multiple (LCM) of 194 and 173 is 33562.
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 173?
First, calculate the GCD of 194 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 173 = 1 remainder 21 |
| 2 | 173 ÷ 21 = 8 remainder 5 |
| 3 | 21 ÷ 5 = 4 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 109 | 5777 |
| 30 and 19 | 570 |
| 186 and 177 | 10974 |
| 24 and 116 | 696 |
| 181 and 195 | 35295 |