Least Common Multiple (LCM) of 193 and 45
The least common multiple (LCM) of 193 and 45 is 8685.
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 45?
First, calculate the GCD of 193 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 45 = 4 remainder 13 |
| 2 | 45 ÷ 13 = 3 remainder 6 |
| 3 | 13 ÷ 6 = 2 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 46 and 118 | 2714 |
| 80 and 156 | 3120 |
| 66 and 193 | 12738 |
| 183 and 75 | 4575 |
| 123 and 11 | 1353 |