We carry out an ab initio calculation of the neutrino flux-folded inclusive cross sections measured on 12 C by the MiniBooNE and T2K Collaborations in the charged-current quasielastic regime. The calculation is based on realistic two-and three-nucleon interactions, and on a realistic nuclear electroweak current with one-and two-nucleon terms that are constructed consistently with these interactions and reproduce lowenergy electroweak transitions. Numerically exact quantum Monte Carlo methods are utilized to compute the nuclear weak response functions, by fully retaining many-body correlations in the initial and final states and interference effects between one-and two-body current contributions. We employ a nucleon axial form factor of the dipole form with Λ A ¼ 1.0 or 1.15 GeV, the latter more in line with a very recent lattice QCD determination. The calculated cross sections are found to be in good agreement with the neutrino data of MiniBooNE and T2K, and antineutrino MiniBooNE data, yielding a consistent picture of nuclei and their electroweak properties across a wide regime of energy and momenta.