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Find the LCM of 12x & 36x
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Find the LCM of 12x & 36x i need answer asap ​-example-1

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To find the LCM (Least Common Multiple) of 12x and 36x, we can first factor each expression:

12x = 2^2 * 3 * x
36x = 2^2 * 3^2 * x

The LCM is the product of the highest powers of all prime factors involved. In this case, the prime factors are 2, 3, and x.

The highest power of 2 is 2^2, which appears in both factorizations.
The highest power of 3 is 3^2, which only appears in the factorization of 36x.
The highest power of x is x, which appears in both factorizations.

Therefore, the LCM of 12x and 36x is:

LCM(12x, 36x) = 2^2 * 3^2 * x = 36x

So the LCM of 12x and 36x is 36x.
User Eric Rowell
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