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 |
|---|---|
| 84 and 35 | 420 |
| 185 and 65 | 2405 |
| 158 and 166 | 13114 |
| 158 and 44 | 3476 |
| 135 and 51 | 2295 |