Join tables based on multiple columns

This thread is the first result that appears in Google when searching for "M join tables on multiple columns" so it needs to be kept up to date. The accepted answer is wrong - it is possible to join using multiple keys. I assume at the time of the original response (2017) this was not the case. (Yes I realise the original question was asking about DAX but the accepted response was in M and that is what I followed until it was pointed out to me that I could use multiple columns).

Here is an example demonstrating a join on multiple columns:

let
    AgeData = Table.FromRecords(
        {
            [First = "Casey", Last = "Holmes", Age = 20],
            [First = "Jon", Last = "Henry", Age = 28],
            [First = "Phyllis", Last = "Hassan", Age = 32],
            [First = "Dua", Last = "Myers", Age = 33],
            [First = "Cody", Last = "Anthony", Age = 40],
            [First = "Sebastian", Last = "Currie", Age = 40],
            [First = "Jaspal", Last = "Chadwick", Age = 41],
            [First = "Suhail", Last = "Ryder", Age = 42],
            [First = "Fabian", Last = "Maldonado", Age = 45],
            [First = "Yara", Last = "Ellison", Age = 58]
        }
    ),
    OccupationData = Table.FromRecords(
        {
            [First = "Cody", Last = "Anthony", Occupation = "Bricklayer"],
            [First = "Fabian", Last = "Maldonado", Occupation = "Business Consultant"],
            [First = "Dua", Last = "Myers", Occupation = "Clerical Assistant"],
            [First = "Phyllis", Last = "Hassan", Occupation = "Estate Agent"],
            [First = "Yara", Last = "Ellison", Occupation = "Interpreter"],
            [First = "Casey", Last = "Holmes", Occupation = "Museum Curator"],
            [First = "Jon", Last = "Henry", Occupation = "Nurse"],
            [First = "Suhail", Last = "Ryder", Occupation = "Police Officer"],
            [First = "Sebastian", Last = "Currie", Occupation = "Professor"],
            [First = "Jaspal", Last = "Chadwick", Occupation = "Refuse Collector"]
        }
    ),
    JoinedData = Table.Join(AgeData, {"First","Last"}, OccupationData, {"First","Last"})
in
    JoinedData