# How do you find the LCD of 8x , 25y?

To find the least common denominator, we look for the smallest number that both numbers can divide into, which is

To find the least common denominator, we look for the smallest number that both numbers can divide into. To do that, I like to break the numbers we are working with down into their constituent parts and start from there.

Let's do 8x first.

Put the whole thing together to get:

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To find the least common denominator (LCD) of (8x) and (25y), we need to identify the factors that are common to both terms and those that are unique to each term. The LCD is the product of all unique factors, including the highest power of common factors.

The prime factorization of (8x) is (2^3 \times x) and the prime factorization of (25y) is (5^2 \times y).

The LCD is therefore (2^3 \times 5^2 \times x \times y), which simplifies to (200xy).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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