Least Common Multiple (LCM) of 198 and 190
The least common multiple (LCM) of 198 and 190 is 18810.
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 190?
First, calculate the GCD of 198 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 190 = 1 remainder 8 |
| 2 | 190 ÷ 8 = 23 remainder 6 |
| 3 | 8 ÷ 6 = 1 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 126 | 2898 |
| 106 and 188 | 9964 |
| 105 and 173 | 18165 |
| 170 and 160 | 2720 |
| 186 and 110 | 10230 |