Are you referring to the hardware serial number of the computer?

Here is a link to some code that may help:
https://blogs.technet.microsoft.com/mmodin/2009/10/28/get-computer-serial-number-and-other-info-with-powershell/

I am assuming you mean the Windows server keys used to activate Windows server, and not the hardware manufacturers serial number.

In either case I am not sure how you can run ANY command that would accomplish either.

You can go into AD Users and Computers > The domain you want to see > Computers and this is the list of all the computers that are in that domain who are in your AD.

So out of curiosity I clicked on one of the computers in my AD computers group clicked on the "Attribute Editor" tab and scrolled to "serialNumber" and I'll be a **** **** **** that there is an object just for that, however you would had to have already previously set that in order for it to be filled otherwise it will be "<not set>"

To Nathan:
My AD OU named Computers populates with what you described.  The attribute is <not set>.
It is that serial number that I need to retrieve - not for just 1 computer but for all computers in our domain.
I was hoping to find a PowerShell command that would work.

To 65td:
Your link provided me with some PowerShell commands, but it looks as though I need to know the HostName of the computer before I can retrieve the serial number, as in:
Get-WMIObject -Class Win32_BIOS -ComputerName DomCon1 | Format-List SerialNumber
The above command provided me only with the serial number of DomCon1

$computers = get-adcomputer -filter * | select-object -expandproperty Name
foreach ($computer in $computers) {
$serial = Get-WMIObject -Class Win32_BIOS -ComputerName $computer | select-object -expandproperty  SerialNumber
write-output ("Computer {0} Serial Number: {1}" -f $computer,$serial)
}

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To David:
This exact command can be copied/pasted at my powershell prompt - no changes necessary?  If so:
1) Can it be run from my own pc . . .or,
2) Must it be run from the powershell on the Domain Controller itself?

Yeah. You would need some sort of 3rd party tool to populate that object so that you could then run that/those power shell command/s to query a DC and get every computer and that object's value, which is why I said initally I dont know of any Windows command that will populate that field and then a command to then query the newly populated fields and give you that list.

The second part I was pretty sure some AD script guru would be able to cobble something together, but its pretty useless if that field wasn't already populated (as seems to be the case).

paste it into your ISE  It should run from any computer that has the activedirectory module (rsat tools installed) otherwise run it from any dc

To David:
Apologies to you, but:
The only acronym I associate with ISE is Cisco's "Identity Services Engine".  What exactly do you mean "paste it into your ISE"?

So sorry that I left the results of David's suggestions unanswered.  His solution was the perfect solution to my question.

hello,

what if the remote laptops are using vpn to connect to the network?

Thanks

Ric