Least Common Multiple (LCM) of 194 and 145
The least common multiple (LCM) of 194 and 145 is 28130.
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 194 and 145?
First, calculate the GCD of 194 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 145 = 1 remainder 49 |
| 2 | 145 ÷ 49 = 2 remainder 47 |
| 3 | 49 ÷ 47 = 1 remainder 2 |
| 4 | 47 ÷ 2 = 23 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 165 | 29370 |
| 81 and 12 | 324 |
| 147 and 158 | 23226 |
| 33 and 82 | 2706 |
| 139 and 177 | 24603 |