Question

Find the LCM of (6x - 18) and (2x² - 6x)? Please explain as well I really need this answer.

Answer 1

The least common multiple can be found a couple of ways. For this, it is probably easiest to identify the unique factors of each expression.
  (6x -18) = 6(x -3) = 2*3*(x -3)

  (2x² -6x) = 2x(x -3)

Then the unique factors are 2, 3, x, (x -3). Their product is the LCM:
  LCM = 6x(x -3) = 6x² -18x

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If one or more of the factors is raised to a power other than 1, use the highest power of that factor in the final product.