13" or 14"?
While the radius of the 14" rim is 0.5" bigger, the outside radius of the tire is 1" more. If you now have 4" clearance in the wheel well, losing an inch of clearance would appear to be acceptable.
But remember that the suspension travel may use up the remaining clearance. In the above example, if you hit a large bump at speed and the suspension moves 3", your new tires will contact the wheel well and cause damage to the trailer or tire.
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