# How do you find the LCD for 2 , x, x^2?

May 2, 2018

As below

#### Explanation:

LCD stands for least common denominator and LCM stands for least common multiple.

The least common multiple is the smallest number that is divisible by all of the numbers in a set.

The least common denominator is used when adding fractions so that you can add fractions with different denominators.

$\text{Given terms are } 2 , x , {x}^{2}$

$\text{Term 1 } = 2$

"Term 2 "= color(red)(x

$\text{Term 3 } = {x}^{2} = \textcolor{red}{x} \cdot x$

Since x is finding place in both terms 2, 3, it is accounted once while arriving at the LCD or LCM

:.color(maroon) (L C D = L C M = 2 * x^2 = 2x^2