Find the HCF and LCM of 96 and 404?

Given: Numbers 96 and 404

To find: LCM and HCF

Solution:

Prime factors:

96 = 2 $\times$ 2 $\times$2 $\times$2 $\times$2 $\times$3

404 = 2 $\times$2 $\times$101

HCF  = Product of common prime factors

 = 2$\times$2 = 4

LCM = Product of all prime factors along with highest powers

2 $\times$ 2 $\times$ 2 $\times$ 2 $\times$ 2 $\times$ 101 $\times$ 3

= 9696