An elliptical exercise machine comprising a base support structure having a front portion, a rear portion, and a pivot joint comprising a pivot mechanism configured to pivotally connect the front and rear portions, the pivot mechanism being configured to facilitate a breakaway of the base support and an upward rotation of the rear portion with respect to the front portion, thereby enabling the elliptical exercise machine to fold into a compact configuration; an upright support structure extending upward with respect to the base support structure; a drive assembly operably supported about the rear portion of the base support structure and comprising a drive component configured to rotate about a pivot axis; and a reciprocating foot support operable with the drive assembly and configured to travel about a closed path upon rotation of the drive component and operation of the elliptical exercise machine. In a preferred embodiment, the reciprocating foot support is configured to releasably engage the drive component, thereby allowing the rear portion to fold upward and the reciprocating foot support also to be folded upward and out of the way.