Least Common Multiple (LCM) of 192 and 134
The least common multiple (LCM) of 192 and 134 is 12864.
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 134?
First, calculate the GCD of 192 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 134 = 1 remainder 58 |
| 2 | 134 ÷ 58 = 2 remainder 18 |
| 3 | 58 ÷ 18 = 3 remainder 4 |
| 4 | 18 ÷ 4 = 4 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 194 | 12610 |
| 152 and 152 | 152 |
| 164 and 166 | 13612 |
| 100 and 66 | 3300 |
| 37 and 59 | 2183 |