Answer:
The smallest number of each type of towels that the store must have sold is 102
Step-by-step explanation:
we know that
To find out the smallest number of each type of towels that the store must have sold, determine the Least Common Multiple (LCM)
Find the prime factorization of the numbers 17 and 6
[tex]17=17\\6=(2)(3)[/tex]
The prime factorization of the LCM includes all prime factors found in the numbers, with the greatest exponents (if any)
The LCM is
[tex](17)(2)(3)=102[/tex]
therefore
The smallest number of each type of towels that the store must have sold is 102