Question

What is the least common denominator (LCD) of 1/2 and 2/3 ?

A. 5

B. 6

C. 12

D. 18

Answer 1

So basically you just want to find the LCM of the denominators shown, or 2 and 3. 

So in this case, you could use the most inefficient method, or listing the multiples out:

2 : 2, 4, 6

3: 3, 6, 9

And as you can see, the first multiple that matches is 6. So your answer would be B, 6.

Answer 2

The least common denominator (LCD) of 1/2 and 2/3 is 6.

The least common denominator or the lowest common denominator of a set of fractions is smallest multiple of the denominators of the fractions. The multiple of a number is the product of a number and another counting number.

In order to determine the least common denominator, multiply the denominators of both fractions together.

2 X 3 = 6.

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