Least Common Multiple (LCM) of 191 and 198
The least common multiple (LCM) of 191 and 198 is 37818.
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 191 and 198?
First, calculate the GCD of 191 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 198 = 0 remainder 191 |
| 2 | 198 ÷ 191 = 1 remainder 7 |
| 3 | 191 ÷ 7 = 27 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 45 | 5580 |
| 149 and 176 | 26224 |
| 87 and 45 | 1305 |
| 174 and 107 | 18618 |
| 174 and 126 | 3654 |