Hello,
 
If you are using one of the common alphanumeric LCD modules, with either 4- or 8-bit interface modes, I suggest you check its specification for digital input switching level.  You may find that a 3.3 volt swing from the MCU is adequate, even though the LCD operates from 5 volts.  To avoid any possibility of return data from the display, and a voltage mismatch, you would need to set the WE pin for continuous write mode.
 
Regards,
Mac