Least Common Multiple (LCM) of 183 and 192
The least common multiple (LCM) of 183 and 192 is 11712.
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 183 and 192?
First, calculate the GCD of 183 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 192 = 0 remainder 183 |
| 2 | 192 ÷ 183 = 1 remainder 9 |
| 3 | 183 ÷ 9 = 20 remainder 3 |
| 4 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 96 and 200 | 2400 |
| 105 and 79 | 8295 |
| 37 and 191 | 7067 |
| 61 and 82 | 5002 |
| 34 and 120 | 2040 |