Find the LCD of 6x^2 and 9x^6

I need to find the Least Common denominator of these 2 expressions. I'm thinking it's 18x^? but not don't quite remember how to do this...

Lowest Common Multiple (not Denominator - aka Greatest common Denominator?)

factors of 6x^2 = (2^1)(3^1))(x^2)

factors of 9x^6 = (2^0)(3^2)(x^6)

LCM = product of highest common prime factors

2, 3 and x are common factors so take highest power terms..

= (2^1)(3^2)(x^6) = 18x^6

9 = 6*1 + 3
6 = 3 *2 + 0
the gcf is 3.

lcm * gcf = 9*6
lcm*3 = 9*6
lcm = 9 * 6 / 3
lcm = 18

So the answer is 18x^6.

the least common multiple of 6x^2 and 9x^6 is:

18x^6

the way you present the question, this is LCM...

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LCD of 6 and 9 = 3.
LCD of x^2 and x^6 = x^2

So LCD = 3x^2