If H.C.F. of p and q is x and q = xy, then the L.C.M.
of p and q is

Question

Accepted Answer

**Recall the relationship between HCF and LCM:**
   The product of two numbers is equal to the product of their HCF and LCM:
   $$
   pq = 	ext{HCF} 	imes 	ext{LCM}
   $$
   Substituting $$ x $$ for HCF:
   $$
   pq = x 	imes 	ext{LCM}
   $$

**Substitute $$ q = xy $$:**
   Replace $$ q $$ with $$ xy $$ in the equation:
   $$
   p(xy) = x 	imes 	ext{LCM}
   $$

**Simplify the equation:**
   Divide both sides by $$ x $$ to isolate LCM:
   $$
   	ext{LCM} = \frac{p(xy)}{x}
   $$

**Cancel out $$ x $$:**
   Simplifying further:
   $$
   	ext{LCM} = py
   $$

Thus, the Least Common Multiple (LCM) of $$ p $$ and $$ q $$ is given by $$ py $$.

Answer

Answer

Answer