HCF
The higest common Factor of these two numbers can be found by breaking this down into it's prime factors.
404: 2*2*101
96: 2*2*2*2*2*3
HCF: 4
LCM
Using the same factors, the LCM can be found but taking the Highest number of prime factors from each set of numbers.
96:2 * 2 * 2 * 2 * 2 * 3
404: 2 * 2 * 101
The Lowest Common Multiple is
2*2*2*2*2 * 3 * 101
LCM: 96 * 101 = 9696
HCF*LCM = 4 * 9696 = 38784
Multiple Original numbers together = 96 * 404 = 38784