  We use holography in conjunction with recent results from supersymmetric
localization to compute certain thermal observables for 3d $\mathcal{N}=2$
holographic SCFTs arising on the worldvolume of $N$ M2-branes. We obtain
results for the thermal free energy density on $S^1 \times \mathbb{R}^2$, the
Casimir energy on $T^{2} \times \mathbb{R}$, and the three leading coefficients
in the large temperature limit of the free energy on $S^1\times S^2$ valid to
subleading order in the large $N$ limit. As a byproduct of our holographic
analysis we also present a conjecture for the structure of the large
temperature expansion of the thermal free energy of general 3d CFTs on
$S^1\times S^2$.
