Least Common Multiple (LCM) of 198 and 191
The least common multiple (LCM) of 198 and 191 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 198 and 191?
First, calculate the GCD of 198 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 191 = 1 remainder 7 |
| 2 | 191 ÷ 7 = 27 remainder 2 |
| 3 | 7 ÷ 2 = 3 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 77 | 1232 |
| 159 and 146 | 23214 |
| 13 and 164 | 2132 |
| 54 and 61 | 3294 |
| 42 and 110 | 2310 |