Least Common Multiple (LCM) of 192 and 114
The least common multiple (LCM) of 192 and 114 is 3648.
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 114?
First, calculate the GCD of 192 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 114 = 1 remainder 78 |
| 2 | 114 ÷ 78 = 1 remainder 36 |
| 3 | 78 ÷ 36 = 2 remainder 6 |
| 4 | 36 ÷ 6 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 50 and 175 | 350 |
| 170 and 141 | 23970 |
| 63 and 147 | 441 |
| 178 and 126 | 11214 |
| 193 and 134 | 25862 |