# How do you find the Least common multiple of #30ab^3, 20ab^3#?

The LCM is

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The LCM is

The product of the largest amounts of each (prime) factor that appears in either number is the least common multiple (LCM) of two numbers; in other words, it is the smallest value that we can be certain will have both numbers as factors.

First, factor the two numbers.

Step 2: Circle the larger factor after comparing the powers of each element that appears in the two numbers.

Step 3: Add up all of the values that are circled.

Our least common multiple is this one.

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To find the least common multiple (LCM) of 30ab^3 and 20ab^3, you need to identify the highest powers of each prime factor that appear in either expression and multiply them together.

The prime factorization of 30ab^3 is (2 \times 3 \times 5 \times a \times b^3).

The prime factorization of 20ab^3 is (2^2 \times 5 \times a \times b^3).

To find the LCM, take the highest power of each prime factor that appears in either expression:

- For 2: The highest power is (2^2).
- For 3: It only appears in 30ab^3, so it's (3^1).
- For 5: The highest power is (5^1).
- For a: It appears in both, so it's (a^1).
- For (b^3): The highest power is (b^3).

Now, multiply these highest powers together:

(2^2 \times 3^1 \times 5^1 \times a^1 \times b^3 = 4 \times 3 \times 5 \times a \times b^3 = 60ab^3).

Therefore, the least common multiple of 30ab^3 and 20ab^3 is 60ab^3.

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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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