Question

Find the LCM of 4b^3 and 6b^2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the least common multiple (LCM) of 4b^3 and 6b^2, we need to break down each term into its prime factors.

4b^3 = 2^2 * b^3
6b^2 = 2 * 3 * b^2

Now we need to find the highest power of each prime factor in either of the numbers:
- 2 is to the power of 2 in the first number and to the power of 1 in the second number, so take the highest power which is 2^2.
- 3 is to the power of 0 in the first number and to the power of 1 in the second number, so take the higher power which is just 3^1.
- b is to the power of 3 in the first number and to the power of 2 in the second number, so take the highest power which is b^3.

Therefore, the LCM of 4b^3 and 6b^2 is 2^2 * 3 * b^3 = 12b^3.