Final answer:
In eukaryotes, the RNA primer in the lagging strand is removed by a nuclease called FEN1, and the RNA nucleotides are replaced by DNA polymerase I. DNA ligase seals the nicks that remain, completing the synthesis of the lagging strand.
Step-by-step explanation:
In eukaryotes, the RNA primer in the lagging strand is removed through a process involving multiple enzymes. The RNA primer is first cut by a nuclease called FEN1 or MF1. This creates a small flap of nucleic acid that is displaced from the 5' end of the fragment. DNA polymerase I then replaces the RNA nucleotides with the appropriate deoxynucleotides. Finally, DNA ligase seals the nicks that remain between the newly synthesized DNA and the previously synthesized DNA, completing the synthesis of the lagging strand.