23- For I have received of the Lord that which also I delivered unto you, That the Lord Jesus the [same] night in which he was betrayed took bread:
24- And when he had given thanks, he brake [it], and said, Take, eat: this is my body, which is broken for you: this do in remembrance of me.
25- After the same manner also [he took] the cup, when he had supped, saying, This cup is the new testament in my blood: this do ye, as oft as ye drink [it], in remembrance of me.
26- For as often as ye eat this bread, and drink this cup, ye do shew the Lord's death till he come.
The supper by itself already says everything, is in the memory of the death of the lamb and not every time the Congregation gathers in his name.
Isn´t in Good Friday that all Christians remember the death of Christ?
And when you eat lamb?

Isn´t after the lam has been immolated?
Jesus participated of Judaic Easter, that was celebrated yearly; after celebrating the Judaic Easter, established his supper, placing himself as the lamb, was betrayed, judged, killed and buried, all in one day: from 6 to 6, and not one bone was broken to confirm that he was the paschal lamb. Paul also says that the Church has the duty of purifying each one, to not contaminate the whole mass (Church) before the supper. In 1st Cor 5:
6- Your glorying [is] not good. Know ye not that a little leaven leaveneth the whole lump?
7- Purge out therefore the old leaven, that ye may be a new lump, as ye are unleavened. For even Christ our passover is sacrificed for us:.
8- Therefore let us keep the feast, not with old leaven, neither with the leaven of malice and wickedness; but with the unleavened [bread] of sincerity and truth.