Leaped and Leapt have the same meaning and usage; each word is both the simple past and past participle forms of the verb to leap (“to jump”).
You are free to use either one in all of the same places. People do associate leapt with British English more than American English, but in general they are commonly used in both the UK and the Americas.
So the only differences are in spelling, pronunciation (see below), and context—not meaning.
Difference in Pronunciation: Leaped and Leapt
Leaped:
Leapt: