In short, these are all basically interchangeable terms.
Historically speaking, it was thought that lasers (coherent light beams) had unique effects that were totally different from LEDs. Thus, the bulk of the research has been done with lasers and uses the term “low-level laser therapy” or LLLT for short. But now studies have shown that, in the realm of red light therapy, LEDs could reproduce similar effects to that of lasers.