Find MAX values in one column (A) and place data in another column next to the MAX value

I have a column (A) of data as such:
6
5
9
9
4
3
2
There are of course many more rows. How can I find the MAX value in Column A (in this case 9) and place an 'L' in the corrresponding rows in Column B.
9 L
9 L
Thank you in advance for any guidance/answer.