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 |
|---|---|
| 140 and 136 | 4760 |
| 104 and 173 | 17992 |
| 162 and 131 | 21222 |
| 13 and 119 | 1547 |
| 40 and 165 | 1320 |