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Find the $LCM$ and $HCF$ of the following integers by applying the prime factorisation method: $12, 15$ and $21$.

If $\text{g.c.d.} (a, b) = b$,then $\text{l.c.m.} (a, b) = \dots$ (where,$a, b \in N$)

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

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

Find the $g.c.d.$ (Greatest Common Divisor) of $12576$ and $4052$ using Euclid's division algorithm.

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