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Default Max Value of conditional list

I have a list of machines (MACHINE LIST) and another list of dates (DATE
LIST). The DATE list has the dates that each machine was used . The DATE
list is much longer than the MACHINE list because each machine has been used
multiple times on different dates.

I want to make a report that shows the last date each machine was used. I
could accomplish this by sorting the DATE list and then manually comparing
the two lists. But, I'd have to do that every time they were updated. I
want to automate the process.

Is there a formula that would give me the max date from the DATE list for
each entry on the MACHINE list.....something like a "MAXIF"

Thanks
 
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