Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE table_name_14 (league_cup_goals INTEGER, fa_cup_goals VARCHAR, fa_cup_apps VARCHAR)

### Question ###
What is the lowest league cup goals for the entry with fa cup goals greater than 0 and FA cup apps larger than 2?

### Accurate SQL ###

SELECT MIN(league_cup_goals) FROM table_name_14 WHERE fa_cup_goals > 0 AND fa_cup_apps > 2