Find the least common multiple of 9b^4 and 12y^3 square

Question

Answer 1

To find the least common multiple (LCM) of

and

, we need to follow these steps:1. **Factorize each term into its prime factors:** -

-

2. **Identify the highest powers of all prime factors and variables involved:** - The prime factors are

and

. - The variable factors are

and

.3. **Take the highest power of each prime factor and variable:** - For

, the highest power is

. - For

, the highest power is

. - For

, the highest power is

. - For

, the highest power is

.4. **Multiply these highest powers together to get the LCM:**

5. **Calculate the product:**

Therefore, the least common multiple of

and

is:

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