A whole number larger than 2 leaves a remainder of 2 when divided by each of the numbers 3, 4, 5, and 6.  What is the smallest such number?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
A whole number larger than 2 leaves a remainder of 2 when divided by each of the numbers 3, 4, 5, and 6.  What is the smallest such number?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
62
A whole number larger than 2 leaves a remainder of 2 when divided by each of the numbers 3, 4, 5, and 6.  What is the smallest such number?
train