Least Common Multiple (LCM) of 192 and 83
The least common multiple (LCM) of 192 and 83 is 15936.
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 83?
First, calculate the GCD of 192 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 83 = 2 remainder 26 |
| 2 | 83 ÷ 26 = 3 remainder 5 |
| 3 | 26 ÷ 5 = 5 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 169 | 25857 |
| 149 and 158 | 23542 |
| 15 and 85 | 255 |
| 185 and 169 | 31265 |
| 167 and 105 | 17535 |