A positive integer is 3 more than a multiple of 4 and 4 more than a multiple of 5. What is the least integer it could be?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
A positive integer is 3 more than a multiple of 4 and 4 more than a multiple of 5. What is the least integer it could be?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
19
A positive integer is 3 more than a multiple of 4 and 4 more than a multiple of 5. What is the least integer it could be?
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