The Least Common Multiple $(LCM)$ of the smallest prime number and the smallest composite number is ........

Find the $HCF$ and $LCM$ of $6$,$72$,and $120$ using the prime factorization method.

Find the $HCF$ and $LCM$ of the following pair of integers $510$ and $92$ and verify that $HCF \times LCM = \text{product of the two numbers}$.

If $\alpha$ and $\beta$ are the zeros of the polynomial $P(x) = x^2 - 3x + 2k$ and $\alpha + \beta = \alpha\beta$,then the value of $k$ is:

The $LCM$ of the smallest prime number and the smallest composite number is . . . . . . .

Find the remainder when $p(x) = 40x^2 + 11x - 63$ is divided by $x + 2$.