What Is the Difference between "Let," "Lets," and "Let's"?

The Quick Answer
A let can be a nullified play in sport or a rented property. As you'd expect, the plural is lets.
Let's (with an apostrophe) is a contraction of let us. It is similar in meaning to we should.
Let and Lets
The word let has several meanings. It can be a noun or a verb.As a noun (e.g., a holiday let), it has the plural lets (e.g., three holiday lets). As a verb in the present tense, it goes:
- I let
- you let
- he/she/it lets
- we let
- you let
- they let
A play usually in racket/racquet sports) which is nullified and has to be played again.
- The ball touched the top of the net causing a let.

- There have been three lets on this serve so far.

- This is a holiday let.

- There are a few lets on this estate.

- She is prepared to let this building for six months.

- This building is to let.

- She lets several houses in the area.

- He let the dog lick his lollipop.

- Paula lets him cook the dinner on Fridays.

- The man who lets himself be bored is even more contemptible than the bore.
(Samuel Butler, 1835-1902) - There is always one moment in childhood when the door opens and lets the future in.
(Graham Greene)
Let's
The word let's is a contraction of let us. Let's [do something] is close in meaning to We should [do something]. For example:- Let's go fishing.

- Let's have a party. Oh yes, let's.
- Let's have a party if mum lets us.
- I'm all in favor of keeping dangerous weapons out of the hands of fools. Let's start with typewriters.
(Solomon Short) - Life loves to be taken by the lapel and told: "I'm with you kid. Let's go."
(Maya Angelou)

A slogan on a T shirt highlighting the importance of commas.
Unfortunately, it should say let's not lets. Ooops.
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