What is lcm (csc^2(x))/4 ,4sin^2(x) ?

The solution to lcm (csc^2(x))/4 ,4sin^2(x) is 2csc^2(x)sin^2(x)

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lcm (csc^2(x))/4 ,4sin^2(x)

lcm

\frac{csc ^{2} ( x )}{4}, 4 sin^{2} (x)

2 csc^{2} (x) sin^{2} (x)

Solution steps

Find Least Common Multiplier of

\frac{csc ^{2} ( x )}{4}, 4 sin^{2} (x)

Factor

\frac{csc ^{2} ( x )}{4}

csc^{2} (x) \cdot \frac{1}{2}

Factor

4 sin^{2} (x)

2^{2} \cdot sin^{2} (x)

Multiply each factor with the highest power:

2^{2} \cdot csc^{2} (x) \cdot \frac{1}{2} \cdot sin^{2} (x)

Simplify

2 csc^{2} (x) sin^{2} (x)

What is lcm (csc^2(x))/4 ,4sin^2(x) ?
The solution to lcm (csc^2(x))/4 ,4sin^2(x) is 2csc^2(x)sin^2(x)