which model are you using of th Panasonic and the LG TV?
usually DVD players have connections like HDMI, component and/or scart (on the picture from left to right)
https/en.wikipedia.org/wiki/DVD_player#Output
The cable connection depends on the TVs video input options too.
Best connection would be via HDMI
Second best, component (3x cinch) with digital audio (optical/toslink or coaxial) or analog audio (2x cinch)
Third: scart