Least Common Multiple (LCM) of 193 and 144
The least common multiple (LCM) of 193 and 144 is 27792.
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 144?
First, calculate the GCD of 193 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 144 = 1 remainder 49 |
| 2 | 144 ÷ 49 = 2 remainder 46 |
| 3 | 49 ÷ 46 = 1 remainder 3 |
| 4 | 46 ÷ 3 = 15 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 160 | 30880 |
| 89 and 198 | 17622 |
| 29 and 187 | 5423 |
| 78 and 73 | 5694 |
| 146 and 124 | 9052 |