Note: John F. Brug, in Psalms 2: People’s Bible Commentary (170), tells his readers, “According to Jewish tradition, Psalms 113 to 118 became a standard part of the Passover celebrations. Psalms 113 and 114 were used before the meal, and Psalms 116 to 118 were used after the meal. These psalms are often called the Passover hallel or Egyptian hallel. Hallel means 'praise.'”
Note: In similar fashion Alec Motyer, in "The Psalms," The New Bible Commentary (Logos Bible Software), says, “At the last Passover, the first Supper, [Jesus] and his company would have sung Psalms 113–114 before the meal and 115–118 would be the ‘hymn’ they sang at the end (Mt. 26:30). No doubt each psalm in the group had its own literary history but together they are well called ‘the Egyptian Hallel/Act of Praise’, a commentary in song on Exodus 6:6–7.”