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

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Answer 1 · 2018-05-02T06:07:18

As below

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.

#"Given terms are " 2, x, x^2#

#"Term 1 "= 2#

#"Term 2 "= color(red)(x#

#"Term 3 "= x^2 = color(red)(x) * 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#