Size depends on purpose to some extent. Will you be eating on it? Putting feet on it? Serving tea with a teapot, cups, saucers, and so on? Playing board games?

All of the above!

I think you need to move the furniture closer. If they are staying where they are, you would need something massive.

Since you need the traffic path between the sofas, try out what will fit with two 24" wide cardboard boxes (or some combination), one in front of each sofa. A set of two matching coffee tables or two ottomans in faux leather would probably work.

Before buying a coffee table, it would be great to provide a picture of the whole space; without seeing a bit more, hard to suggest appropriately, ie: perhaps seating may work better facing each other for flow and that will dictate size/shape.

Keeping an L-shape, could you exchange the two if wall is longer where love seat is presently. Pull couches closer if you need to and again that will dictate table size. (It’s nicer to have couches‘ front feet on rug anyway.)

What size rug did you purchase, as a small rug with large square coffee table can feel off; a smaller rectangle table may suit better. There’s lot to consider prior to buying, in order to create the best functionality and balance.

A lot of coffee tables turn out to be useless traffic blockers if the point was supposed to be giving people a place to set down a cup of coffee.

If you want to make it convenient to eat or drink while seated at those sofas, get end tables and smaller independent tables you can position where they are in easy reach of people sitting on the sofa.

If you want to display books, or have enough space on a table to set down a laptop and work papers, or put your feet up, or you just want “the look”, then it is a good idea to get out some cardboard or newspapers and figure out the optimal size for your self.

Thank you everyone. The new rug is about 8x10 and I plan to have the legs of the couches on the rug. I will take more pictures of the room tomorrow to show that I can’t move the furniture closer or differently. There are sliding glass doors (that we use) at the end of the chaise and a door/steps that can’t be blocked for the smaller couch.