Finding LCM of Multiples

In a certain project, a team of researchers is surveying the relationship between two variables, $A$ and $B$. They find that both $A$ and $B$ can only take integer values. If $A$ is a multiple of 6 and $B$ is a multiple of 8, what is the least common multiple (LCM) of $A$ and $B$ if $A$ can be expressed as $A = 6k$, where $k$ is a positive integer, and $B$ as $B = 8m$, where $m$ is a positive integer?

Furthermore, if the minimum integer values of $k$ and $m$ are both 1, what is the value of the least common multiple $C$ of $A$ and $B$?