Does LCS guarantee that the distance between the first character and last character used to form the sub-sequence is minimum in the first string?

Example :
String 1 : AABCZZZDEF
String 2 : ABCDEF
So the LCS is ABCDEF, now will LCS, guarantee that I get a string from index 2 -> 10 (1- indexed)?

Or it can give me string from index 1 -> 10? (If i retrieve sub-sequence back using standard parent saving and then the string using first and last character.)