Least Common Multiple (LCM) of 193 and 192
The least common multiple (LCM) of 193 and 192 is 37056.
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 193 and 192?
First, calculate the GCD of 193 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 192 = 1 remainder 1 |
| 2 | 192 ÷ 1 = 192 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 44 and 168 | 1848 |
| 96 and 45 | 1440 |
| 158 and 78 | 6162 |
| 27 and 15 | 135 |
| 73 and 53 | 3869 |