[tex] \frac{13}{4x} , \frac{27}{3 x^{2} } [/tex]
In the least common denominator, LCD, we consider the terms that are in the denominator of the fractions; therefore in this case, our focus will be on:
[tex]4x,3x^{2}[/tex]
Now,
Let us find LCD of the above two terms:
[tex]4x[/tex] = 2*2*[tex]x[/tex]
[tex]3x^{2}[/tex] = 3*[tex]x^{2}[/tex]
Therefore, the LCD = 2*2*3*[tex]x^{2}[/tex] (always go for the highest level exponent for LCD)
Ans: LCD = 12[tex]x^{2}[/tex]