Least Common Multiple (LCM) of 104 and 192
The least common multiple (LCM) of 104 and 192 is 2496.
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 104 and 192?
First, calculate the GCD of 104 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 192 = 0 remainder 104 |
| 2 | 192 ÷ 104 = 1 remainder 88 |
| 3 | 104 ÷ 88 = 1 remainder 16 |
| 4 | 88 ÷ 16 = 5 remainder 8 |
| 5 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 195 | 195 |
| 137 and 119 | 16303 |
| 180 and 11 | 1980 |
| 170 and 91 | 15470 |
| 18 and 131 | 2358 |