Least Common Multiple (LCM) of 192 and 43
The least common multiple (LCM) of 192 and 43 is 8256.
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 43?
First, calculate the GCD of 192 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 43 = 4 remainder 20 |
| 2 | 43 ÷ 20 = 2 remainder 3 |
| 3 | 20 ÷ 3 = 6 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 63 | 1197 |
| 191 and 96 | 18336 |
| 146 and 199 | 29054 |
| 178 and 111 | 19758 |
| 67 and 33 | 2211 |