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

Find the $HCF$ and $LCM$ of the integers $8$,$9$,and $25$ by the prime factorization method.

The smallest positive number divisible by every integer from $2$ to $6$ is..........

If two positive integers $a$ and $b$ are written as $a = x^3 y^2$ and $b = x y^3$,where $x$ and $y$ are prime numbers,then $HCF(a, b)$ is:

Find the largest number that divides $2053$ and $967$ and leaves a remainder of $5$ and $7$ respectively.

An army contingent of $616$ members is to march behind an army band of $32$ members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march?