Least Common Multiple (LCM) of 14 and 197
The least common multiple (LCM) of 14 and 197 is 2758.
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 14 and 197?
First, calculate the GCD of 14 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 14 ÷ 197 = 0 remainder 14 |
| 2 | 197 ÷ 14 = 14 remainder 1 |
| 3 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 182 | 18746 |
| 150 and 159 | 7950 |
| 189 and 97 | 18333 |
| 55 and 45 | 495 |
| 50 and 16 | 400 |