Using prime factorization method, find the HCF of the following numbers:

$60$ and $72$

Using prime factorization method, find the HCF of the following numbers:

$72$ and $144$

Using prime factorization method, find the HCF of the following numbers:

$3,192$ and $14,280$

Using prime factorization method, find the HCF of the following numbers:

$24, 36$ and $90$

Using prime factorization method, find the HCF of the following numbers:

$40, 48$ and $72$

Using prime factorization method, find the HCF of the following numbers:

$144, 180$ and $192$

Determine the LCM of the following numbers:

$18$ and $19$

Determine the LCM of the following numbers:

$30$ and $60$

Determine the LCM of the following numbers:

$624$ and $936$