  We show how nuclear effective field theory (EFT) and ab initio
nuclear-structure methods can turn input from lattice quantum chromodynamics
(LQCD) into predictions for the properties of nuclei. We argue that pionless
EFT is the appropriate theory to describe the light nuclei obtained in recent
LQCD simulations carried out at pion masses much heavier than the physical pion
mass. We solve the EFT using the effective-interaction hyperspherical harmonics
and auxiliary-field diffusion Monte Carlo methods. Fitting the three
leading-order EFT parameters to the deuteron, dineutron and triton LQCD
energies at $m_{\pi}\approx 800$ MeV, we reproduce the corresponding
alpha-particle binding and predict the binding energies of mass-5 and 6 ground
states.
