As previously mentioend you can use "append" or "appendcols", or you can use "join". If you use "join", you will need a common field to join on, but this can easily be accomplished by adding ... | eval joinOn="blahblahblah"
to both searches, then use the new field "joinOn" (which has the same value in both searchs) as the field to join on.
I imagine you probably want to use append or appendcols though...