Catalyzes the phosphorylation of (R)-mevalonate 5-phosphate (MVAP) to (R)-mevalonate 5-diphosphate (MVAPP). Functions in the mevalonate (MVA) pathway leading to isopentenyl diphosphate (IPP), a key precursor for the biosynthesis of isoprenoid compounds. (R)-5-phosphomevalonate + ATP = (R)-5-diphosphomevalonate + ADP Isoprenoid biosynthesis; isopentenyl diphosphate biosynthesis via mevalonate pathway; isopentenyl diphosphate from (R)-mevalonate: step 2/3. Homodimer. Belongs to the GHMP kinase family.