The three Olympic champions all notched victories earlier in the meet, which began Thursday.
Phelps, who won the 100m butterfly Thursday, goes Saturday in the 100m freestyle against a field that includes Olympic 100m free champion Nathan Adrian.
Franklin, who won the 100m backstroke Friday, is scheduled for the 200m backstroke and the 100m freestyle.
In the 100m free, Franklin is slated to go against Ledecky, who won the 200m free on Thursday.
Ledecky is also entered in the 200m individual medley on Saturday.
Swimmers are preparing for the Olympic trials, which are June 26-July 3 in Omaha. The top two in every individual event at trials will make the Olympic team.
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