Least Common Multiple (LCM) of 194 and 198
The least common multiple (LCM) of 194 and 198 is 19206.
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 198?
First, calculate the GCD of 194 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 198 = 0 remainder 194 |
| 2 | 198 ÷ 194 = 1 remainder 4 |
| 3 | 194 ÷ 4 = 48 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 11 | 1727 |
| 72 and 102 | 1224 |
| 28 and 65 | 1820 |
| 128 and 196 | 6272 |
| 80 and 74 | 2960 |