Question

Find the HCF of 96 and 404 by the prime factorisation method. Hence, find their LCM.

Answer 1

The prime factorization of 96 and 404 gives :
96 = $2^5$ x3, 404 = $2^2$ x 101
Therefore, the HCF of these two integers is $2^2$ = 4.
Also, $LCM(96,404)=\frac{(96\times 404)}{HCF(96,404)}=\frac{(96\times 404)}{4}=9696$