Least Common Multiple (LCM) of 192 and 193
The least common multiple (LCM) of 192 and 193 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 192 and 193?
First, calculate the GCD of 192 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 193 = 0 remainder 192 |
| 2 | 193 ÷ 192 = 1 remainder 1 |
| 3 | 192 ÷ 1 = 192 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 81 | 1377 |
| 125 and 89 | 11125 |
| 135 and 115 | 3105 |
| 57 and 164 | 9348 |
| 119 and 148 | 17612 |