find HCF and LCM of 404 and 96 and verify that HCF into LCM is equal to product of the two given numbers.
404=2*2*101
96=2*2*2*2*2*3
LCM=2*2*2*2*2*101*3=9696
LCM=9696
HCF=2*2=4
HCF=4
HCF *LCM=96*404
4*9696=38784
38784=38784
hence, LCM*HCF=product of two given numbers