Recent $t\overline{t}$ and single top inclusive cross sections results in CMS

With the delivered luminosity of around 150 fb$^{-1}$ at a center-of-mass energy of 13 TeV during Run 2, almost 200 million top quarks were produced at the LHC. As top quarks can be produced through either strong or electroweak interaction, they are a suitable tool to probe the strong and electroweak sector of the Standard Model. In particular, precision measurements of the top quark pair ($\mathrm{t\bar{t}}$) and of single top quark production cross section deliver constraints on the top quark mass, the strong coupling $\alpha_S$, the parton distribution functions, and the CKM matrix element $V_{\mathrm{tb}}$. In this contribution, recent measurements of the inclusive $\mathrm{t\bar{t}}$ and single top quark cross sections performed by the CMS experiment, as well as the ATLAS and CMS combination of the Run 1 single top quark results, are presented.