Least Common Multiple (LCM) of 198 and 110
The least common multiple (LCM) of 198 and 110 is 990.
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 110?
First, calculate the GCD of 198 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 110 = 1 remainder 88 |
| 2 | 110 ÷ 88 = 1 remainder 22 |
| 3 | 88 ÷ 22 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 157 | 1570 |
| 14 and 109 | 1526 |
| 184 and 132 | 6072 |
| 105 and 50 | 1050 |
| 191 and 175 | 33425 |