That has nothing to do with it... the laptop screen res is inconsequential in the display on the TV as this is processed directly by the GPU
When connecting VIA HDMI to an LCD Panel you need to ensure that the Screen is set up as either;
1. Extended Desktop
2. Display on TV only
Reason being is because when you are running cloned display (both images on the screen's are the same) you cannot setup different resolutions on both monitors. I would suggest to set the External monitor/TV to the ONLY display device and ensure that you set the resolution to the Native resolution of the TV (this can be found in your user manual)
KAVO