  The leading-order hadronic contribution to the muon anomalous magentic
moment, $a_\mu^{\rm LO,HVP}$, can be expressed as an integral over Euclidean
$Q^2$ of the vacuum polarization function. We point out that a simple
trapezoid-rule numerical integration of the current lattice data is good enough
to produce a result with a less-than-$1\%$ error for the contribution from the
interval above $Q^2\gtrsim 0.1-0.2\ \mathrm{GeV}^2$. This leaves the interval
below this value of $Q^2$ as the one to focus on in the future. In order to
achieve an accurate result also in this lower window $Q^2\lesssim 0.1-0.2\
\mathrm{GeV}^2$, we indicate the usefulness of three possible tools. These are:
Pad\'{e} Approximants, polynomials in a conformal variable and a NNLO Chiral
Perturbation Theory representation supplemented by a $Q^4$ term. The
combination of the numerical integration in the upper $Q^2$ interval together
with the use of these tools in the lower $Q^2$ interval provides a hybrid
strategy which looks promising as a means of reaching the desired goal on the
lattice of a sub-percent precision in the hadronic vacuum polarization
contribution to the muon anomalous magnetic moment.
