Least Common Multiple (LCM) of 116 and 192
The least common multiple (LCM) of 116 and 192 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 116 and 192?
First, calculate the GCD of 116 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 192 = 0 remainder 116 |
| 2 | 192 ÷ 116 = 1 remainder 76 |
| 3 | 116 ÷ 76 = 1 remainder 40 |
| 4 | 76 ÷ 40 = 1 remainder 36 |
| 5 | 40 ÷ 36 = 1 remainder 4 |
| 6 | 36 ÷ 4 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 93 | 2976 |
| 152 and 16 | 304 |
| 129 and 69 | 2967 |
| 130 and 55 | 1430 |
| 183 and 189 | 11529 |