look around vs look up

look around

verb
  • Used other than figuratively or idiomatically: see look, around. 

  • To take note of what is going on; to make oneself aware. 

  • To turn one's head to see what is behind oneself. 

  • To inspect a building or area. 

  • To search a place. 

look up

verb
  • Used other than figuratively or idiomatically: see look, up. 

  • To reconnect or meet with someone that one used to know. 

  • To obtain information about something from a reference book. 

  • To have better prospects. 

  • To enter a query into a database or search engine. 

  • To obtain, or seek to obtain, information about something. 

How often have the words look around and look up occurred in a corpus of books? (source: Google Ngram Viewer )