7/20x^3y^5,1/30 x^6y^4 find lcd do not combine fractions
LCD(20,30) = 10, so the desired LCD is
1/10 x^3y^4
Nothing larger can be factored from both items.
To find the least common denominator (LCD) between two fractions, we need to consider the prime factors of the variables' exponents.
In this case, the variables are x and y. Let's examine their exponents separately.
For x:
The first fraction has an exponent of 3, while the second fraction has an exponent of 6. To find the least common multiple (LCM) of the exponents, we consider the highest exponent for each prime factor. In this case, the prime factor is x, and the highest exponent is 6. So, we need to consider x^6.
For y:
The first fraction has an exponent of 5, and the second fraction has an exponent of 4. Following the same logic, we consider the highest exponent, which is 5. Therefore, we need to consider y^5.
Now, to find the LCD, we multiply the highest exponent of each variable together: x^6 * y^5.
Hence, the LCD is x^6 * y^5.