Least Common Multiple (LCM) of 198 and 2
The least common multiple (LCM) of 198 and 2 is 198.
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 2?
First, calculate the GCD of 198 and 2 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 2 = 99 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 96 | 4512 |
| 59 and 46 | 2714 |
| 11 and 174 | 1914 |
| 158 and 138 | 10902 |
| 55 and 56 | 3080 |