Can you do two 1031s on the purchase of a single property?
Can you take 2 1031 sales one is an S corp 1031 and the other is a single member LLC 1031 and apply both of them for a single property at a greater value.

Would I need to have 2 entities owning the new property to satisfy the exchange or could I just have my S-corp LLC own it? 

I wonder if I need to have a percentage that each 1031 LLC owns x amount of the new property?
[{"id": "io7ox9t", "text": "Engage with a QI", "replies": [], "depth": 1}, {"id": "io7u94o", "text": "Ask a lawyer but from my understanding you can, one entity would own X percentage of the property and the other entity would own y.", "replies": [], "depth": 1}, {"id": "io9n5kg", "text": "Call whoever is doing your exchange (I use First American Exchange Sercives) and they can walk you through the logistics.", "replies": [], "depth": 1}, {"id": "ipc8e75", "text": "Verify with your exchange accommodator, attorney, etc... but you should be able to use a Tenants In Common agreement between both entities. I've always been advised to take title of your upleg in the same entity you held your sold property, at least for the first few years, but I've yet had a reason to change this", "replies": [], "depth": 1}]