Least Common Multiple (LCM) of 192 and 173
The least common multiple (LCM) of 192 and 173 is 33216.
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 192 and 173?
First, calculate the GCD of 192 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 173 = 1 remainder 19 |
| 2 | 173 ÷ 19 = 9 remainder 2 |
| 3 | 19 ÷ 2 = 9 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 40 and 77 | 3080 |
| 42 and 158 | 3318 |
| 168 and 195 | 10920 |
| 30 and 171 | 1710 |
| 146 and 168 | 12264 |