In this case I'd say the LV, even though I'm a total Dior whore. I have the LV batignolles and its a great bag, as long as you aren't lugging a computer around in it like I tried to do this semester lol.
I have that LV bag and love it, and use it most work days. I get lots of compliments on it too. I personally prefer the LV logo to the Dior; in my humble opinion, it's more classic. The Batignolles Horizontal has an interior zip pocket and a cell phone pocket.