Answer: The smallest possible number is 136.
Step-by-step explanation:
1. You need to find the Least common multiple (LCM), which is the smallest of the common multiples of 17 and 8.
2. You can descompose 17 and 8 into primes factors. Then, you obtain:
[tex]17=17[/tex]
[tex]8=(2)(2)(2)=2^{3}[/tex]
3. Now, you must choose commons and no commons with the greatest exponent and multiply them. Therefore the result is:
[tex](17)(2^{3})=136[/tex]
[tex]LCM=136[/tex]
