Least Common Multiple (LCM) of 192 and 116
The least common multiple (LCM) of 192 and 116 is 5568.
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 116?
First, calculate the GCD of 192 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 116 = 1 remainder 76 |
| 2 | 116 ÷ 76 = 1 remainder 40 |
| 3 | 76 ÷ 40 = 1 remainder 36 |
| 4 | 40 ÷ 36 = 1 remainder 4 |
| 5 | 36 ÷ 4 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 77 | 4158 |
| 95 and 20 | 380 |
| 179 and 103 | 18437 |
| 83 and 54 | 4482 |
| 129 and 51 | 2193 |