Shame on you for citing Wikipedia on a matter of roads, instead of
the SABRE Wiki.
Paul and spongsdad are both right.
In the following, all junction numbers are those that apply today on the M60, not those that applied at the time.
The original M62, opened in 1960, corresponds to what is now M60 J7-J13.
In 1971 most of this (J7-J12) became M63, while J12-J13 remained M62 and was extended NEwards.
In 1974 the M63 was extended SE to J2 (Roscoe's Roundabout, Cheadle).
It was later extended through Stockport, eventually to meet what was then the M66 at J25.
In 1998, with the north-eastern section of what is now the M60 still incomplete, the entire ring was renamed M60. Thus the M63 ceased to exist, and sections of the M62 and M66 became M60, together with a section of the M66 that was still under construction, to be completed in 2000.