6x² and 4x²-12X LCM=

Find the least common multiple of 6x² and 4x²-12X
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2 goes into both: 6=2*3, 4=2*2, 12=2*6; and x goes into both. So 6x^2=2x*3x, 4x^2=2x*2x, 12x=2x*6. The LCM is therefore 2x*3x(2x-6)=6x^2(2x-6)=12x^2(x-3). 6x^2 divides into this 2(x-3) times; and 4x^2-12x divides into it 3x times.

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