[Python] Remove equal characters from two python strings

I am writing a Python code to remove equal same characters from two strings which lies on the same indices. For example remove_same('ABCDE', 'ACBDE') should make both arguments as BC and CB. I know that string is immutable here so I have converted them to list. I am getting an out of index error.

def remove_same(l_string, r_string):
l_list = list(l_string)
r_list = list(r_string)
i = 0
while i != len(l_list):
print(f'in {i} length is {len(l_list)}')
while l_list == r_list:
l_list.pop(i)
r_list.pop(i)
if i == len(l_list) - 1:
break
if i != len(l_list):
i += 1

return l_list[0] == r_list[0]

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