common denominator of 3 4 9

Question

what is the common demoninator for 3 4 9 ?

Answer 1

Hi Jenah,

Find the prime factorization of each denominator and the LCD will need to have all of them except for duplicates from other denominators.

Prime factorizations: 3=3¹ , 4=2² , and 9 = 3²

In the LCD there needs to be two 3's and two 2's as factors,

so the result is 2*2*3*3 = 36.

 

Notice the factorization of 3 is duplicated in the factorization of 9,

so it is not repeated.