Least Common Multiple (LCM) of 134 and 192
The least common multiple (LCM) of 134 and 192 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 134 and 192?
First, calculate the GCD of 134 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 192 = 0 remainder 134 |
| 2 | 192 ÷ 134 = 1 remainder 58 |
| 3 | 134 ÷ 58 = 2 remainder 18 |
| 4 | 58 ÷ 18 = 3 remainder 4 |
| 5 | 18 ÷ 4 = 4 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 197 | 17139 |
| 15 and 72 | 360 |
| 66 and 115 | 7590 |
| 175 and 32 | 5600 |
| 11 and 75 | 825 |