Math  /  Algebra

QuestionFind the least common denominator. 63m6n4225m2n6\frac{6}{3 m^{6} n^{4}}-\frac{2}{25 m^{2} n^{6}}
The least common denominator (LCD) is \square

Studdy Solution
Construct the least common denominator using the highest powers of all factors:
The least common denominator is:
LCD=3×52×m6×n6 \text{LCD} = 3 \times 5^2 \times m^6 \times n^6
Calculate the numerical part:
3×25=75 3 \times 25 = 75
Thus, the least common denominator is:
75m6n6 75 m^6 n^6
The least common denominator (LCD) is 75m6n6\boxed{75 m^6 n^6}.

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