Question

Find the lowest common denominator of and . A. (p + 2) B. (p + 5)(p + 3) C. (p + 5)(p + 2)(p + 3) D. (p + 2)2

Answer 1

The lowest (or least) common denominator also written as LCD is the smallest of all the possible common denominators, where the denominator is the bottom number in a fraction.
We should find the lowest common denominator of (p+3)/(p^2+7p+10) and (p+5)/(p^2+5p+6). 
p^2+7p+10 can be written as a product: (p+5)(p+2)
p^2+5p+6 can be written as a product: (p+3)(p+2)
So, we should find the LCD for (p+5)(p+2) and (p+3)(p+2). The smallest possible number that can be divided with both of them is:(p + 5)(p + 2)(p + 3) 
Solution C.