Least Common Multiple (LCM) of 173 and 194
The least common multiple (LCM) of 173 and 194 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 173 and 194?
First, calculate the GCD of 173 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 194 = 0 remainder 173 |
| 2 | 194 ÷ 173 = 1 remainder 21 |
| 3 | 173 ÷ 21 = 8 remainder 5 |
| 4 | 21 ÷ 5 = 4 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 83 | 16185 |
| 154 and 156 | 12012 |
| 107 and 188 | 20116 |
| 93 and 98 | 9114 |
| 83 and 83 | 83 |