Answer
Hydrogen has a much greater IE than lithium because, despite lithium's three protons, hydrogen's nucleus has a much stronger hold on its valence electron.
Work Step by Step
This is because lithium has two non-valence electrons or shielding electrons which shield the nucleus from having as strong of a hold on its valence electron as hydrogen. This stronger hold hydrogen's nucleus has on its valence electron accounts for a greater IE than lithium.