Let's list the multiples of 8 and 16.
Multiples of 8:
8,16,24,32,40,48,56,64,72,80,88,96,104,112,120
Multiples of 16:
16,32,48,64,80,96,112,128,144,160,176,192,208
Thus, we can see that 72 is not a common multiple of 8 and 16 as it is not a multiple of 16.