The positive integers p and r have exactly three prime factors in common: two 2's and one 3. If p has exactly one additional prime factor x and r has exactly one additional prime factor y such that x ≠ y , which of the following represents the least common multiple of p and r?	Choose the correct choice from the following:
A) 12xy  B) 6xy  C) xy  D) 12  E) 6
P and R have exactly 3 factors i.e. 2 , 2 and 3 which comes out to be 12 ;   so p and r will have 12 for sure as a factor ; ok .   now considering that both p -&gt; x as a prime factor and r-&gt; y as prime factor and x is not equal to y ;   LCM will be 12 * x * y   eg: -   let p and r be 12 and 12 each ; then 7 added to p and 11 added to r we get Least LCM as   12 *7* 11 ; 12xyNSWER:12xy
<result>A</result>
The positive integers p and r have exactly three prime factors in common: two 2's and one 3. If p has exactly one additional prime factor x and r has exactly one additional prime factor y such that x ≠ y , which of the following represents the least common multiple of p and r?