Least Common Multiple (LCM) of 198 and 16
The least common multiple (LCM) of 198 and 16 is 1584.
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 16?
First, calculate the GCD of 198 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 16 = 12 remainder 6 |
| 2 | 16 ÷ 6 = 2 remainder 4 |
| 3 | 6 ÷ 4 = 1 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 160 | 160 |
| 146 and 30 | 2190 |
| 165 and 185 | 6105 |
| 197 and 97 | 19109 |
| 149 and 21 | 3129 |