What is the least positive integer $n$ such that $4125$ is a factor of $n!$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the least positive integer $n$ such that $4125$ is a factor of $n!$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
15
What is the least positive integer $n$ such that $4125$ is a factor of $n!$?
train