I have been exploring the patterns of the greatest divisors $\leq$ to the square root $n$ for sequences of size $n$. Just for grins, I used $\textit{Mathematica}$ to produce this ListLinePlot:

When I saw how symmetrical it was, I had to look up the sequences: OEIS A003418 The third sentence in the comments states that this sequence relates to this assertion regarding Riemann: for $n > 2$

$$|\log (\text{lcm}(n))-n |<\sqrt{n} \log ^2(n)$$

Where could I find a book or paper that describes that assertion?