Levoglucosan kinase that catalyzes the transfer of a phosphate group from ATP to levoglucosan (1,6-anhydro-beta-D-glucopyranose, LG) to yield glucose 6-phosphate in the presence of magnesium ion and ATP (Ref.1, PubMed:21719279, PubMed:26354439). In addition to the canonical kinase phosphotransfer reaction, the conversion requires cleavage of the 1,6-anhydro ring to allow ATP-dependent phosphorylation of the sugar O-6 atom (Ref.1, PubMed:21719279, PubMed:26354439). ATP + H2O + levoglucosan = ADP + D-glucose 6-phosphate + H(+) Binds 2 Mg(2+) ions per subunit. Tris(hydroxymethyl)aminomethane (Tris) is a competitive inhibitor of the reaction. Optimum pH is 9.0. Optimum temperature is 30 degrees Celsius. Homodimer. Levoglucosan is the major anhydrosugar compound resulting from the degradation of cellulose during the fast pyrolysis process of biomass and thus the most attractive fermentation substrate in the bio-oil (PubMed:21719279). Engineered E.coli can use levoglucosan as sole carbon source, but it also ferments levoglucosan to ethanol (PubMed:21719279). Belongs to the anhydro-N-acetylmuramic acid kinase family.