<s>[INST] The least common multiple (LCM) of two integers $a$ and $b$ is the smallest positive integer that is a multiple of both $a$ and $b$. For an integer $n$, define the $n\textsuperscript{th} \text{ LCM number }$ to be the LCM of $n$ and $n+1$. What is the $1016\textsuperscript{th}$ LCM number?[/INST]