Find the LCM And HCF of 6 and 20 by the prime factorization method.

Given :

Given numbers are 6 and 20.

To do :

We have to find the LCM and HCF of the given numbers by the prime factorization method.

Solution :

Prime factorisation of 6 is,

$6 = 2 \times 3$

Prime factorisation of 20 is,

$20 = 2 \times 2 \times 5$

Therefore,

LCM of 6 and 20 $= 3 \times 2 \times 2 \times 5 = 60$

HCF of 6 and 20 $= 2$.

Therefore, the HCF of 6 and 20 is 2, and the LCM of 6 and 20 is 60.