The datasheet at http://www.ti.com/lit/ds/sprs717a/sprs717a.pdf states that the LCD Controller's max resolution is WXGA (1366x768) but the LCD Controller wiki here http://processors.wiki.ti.com/index.php/AM335x_LCD_Controller_Driver%27s_Guide says
LCD controller(LCDC) on AM335x is an updated version of LCDC that is found on OMAP-L138 SoC. It has following updates in comparison with OMAP-L138
- Interrupt configuration and status registers are different.
- Increased resolution of 2048*2048.
- 24 bits per pixel active TFT raster configuration.