Least Common Multiple (LCM) of 173 and 192
The least common multiple (LCM) of 173 and 192 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 173 and 192?
First, calculate the GCD of 173 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 192 = 0 remainder 173 |
| 2 | 192 ÷ 173 = 1 remainder 19 |
| 3 | 173 ÷ 19 = 9 remainder 2 |
| 4 | 19 ÷ 2 = 9 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 68 | 5236 |
| 40 and 62 | 1240 |
| 154 and 125 | 19250 |
| 159 and 143 | 22737 |
| 26 and 105 | 2730 |