The prime factorisation of the number $45470971$ can be written as $7^2\times A^2\times B^2\times 19$, then find the value of $B-A$.

Find the $\mathrm{LCM}$ and $\mathrm{HCF}$ of $26, 91$ and verify that $\mathrm{LCM}\times \mathrm{HCF}=\mathrm{Product} \mathrm{of} \mathrm{integers}$.

Find the $\text{L.C.M}$ and $\text{H.C.F}$ of the following pair of integers and verify that $\text{L.C.M}\times \text{ H.C.F}=\text{Product of integers}$.

$510$ and $92$

Find the LCM and HCF of the following pairs of integers and verify that HCF$\times$LCM$=$Product of the numbers.

$336$ and $54$

Find the LCM and HCF of the following pair of integers and verify that H.C.F$\times$L.C.M$=$Product of numbers.

$404$ and $96$

Find the $LCM\times HCF$ of the following integers:$12, 15$ and $21$.