From here, there are two ways to do it -
Join-Object custom function by RamblingCookieMonster. This is short and sweet. After you import the function in your current PoSh environment, you can use the below command to get your desired result -
Join-Object -Left $a -Right $b -LeftJoinProperty vm -RightJoinProperty vm | Export-Csv Joined.csv -NTI
The accepted answer from mklement which would work for you as below -
# Read the 2 CSV files into collections of custom objects.
# Note: This reads the entire files into memory.
$doc1 = Import-Csv a.csv
$doc2 = Import-Csv b.csv
$outFile = 'Joined.csv'
# Determine the column (property) names that are unique to document 2.
$doc2OnlyColNames = (
Compare-Object $doc1[0].psobject.properties.name $doc2[0].psobject.properties.name |
Where-Object SideIndicator -eq '=>'
).InputObject
# Initialize an ordered hashtable that will be used to temporarily store
# each document 2 row's unique values as key-value pairs, so that they
# can be appended as properties to each document-1 row.
$htUniqueRowD2Props = [ordered] @{}
# Process the corresponding rows one by one, construct a merged output object
# for each, and export the merged objects to a new CSV file.
$i = 0
$(foreach($rowD1 in $doc1) {
# Get the corresponding row from document 2.
$rowD2 = $doc2[$i++]
# Extract the values from the unique document-2 columns and store them in the ordered
# hashtable.
foreach($pname in $doc2OnlyColNames) { $htUniqueRowD2Props.$pname = $rowD2.$pname }
# Add the properties represented by the hashtable entries to the
# document-1 row at hand and output the augmented object (-PassThru).
$rowD1 | Add-Member -NotePropertyMembers $htUniqueRowD2Props -PassThru
}) | Export-Csv -NoTypeInformation -Encoding Utf8 $outFile