Calcium malate (CCM) definitely has superior absorption although some research suggests that calcium bisglycinate and calcium formate have even higher absorption rates. These forms of calcium are found in leafy green vegetables and some food based supplements. Absorption rates are as follows:
Calcium Citrate/Malate (CCM): 40%
Calcium Carbonate: 26%
Calcium Citrate: 22%
Absorption rates for calcium carbonate and calcium citrate are similar if taken with meals-while calcium lactate (from cow’s milk) and calcium gluconate (highly promoted in liquid formulation) have solubility less than calcium citrate.