Is this a proper usage of "let's"?

Question

"He usually let;s us know his vacation schedule"  

If let's is the conjunction of "let us", wouldn't that technically read as:

"He usually let us us know his vacation schedule"?

If so, should the "us" in the original sentence be removed?

It doesn't sound right without the "us":

"He usually let's know his vacation schedule"

Or is this an improper sentence altogether, and should be written as:

"He will usually let us know his vacation schedule"

I'm curious, because the original sentence seems to be the most commonly spoken usage. 

Any insight would be great!

Answer

Shouldn't it be "lets", "he usually lets us know his vacation schedule"?

Answer

"He usually lets us know his vacation schedule." 

The third person singular is "lets".

"Let's" is a quirk of English to propose an action, not a general purpose abbreviation of "let us". The French equivalent of "Let's go" is "We go, not so?" In German it is "Darf ihr gehen," which means "What if we go". In Russian it is a special word with no direct translation.

Is this a proper usage of "let's"?

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