Find the least common multiple of 8b^3 and 7w^4 square

<br />To find the least common multiple (LCM) of $8b^{3}$ and $7w^{4}$, we first need to break down each term into its prime factors.<br /><br />The prime factorization of $8b^{3}$ is $2^{3}b^{3}$, and the prime factorization of $7w^{4}$ is $7w^{4}$.<br /><br />The LCM of two numbers is the product of the highest powers of all the prime factors that appear in the factorization of each number.<br /><br />So, the LCM of $8b^{3}$ and $7w^{4}$ is $2^{3}b^{3} \cdot 7w^{4} = 56b^{3}w^{4}$.<br /><br />Therefore, the least common multiple of $8b^{3}$ and $7w^{4}$ is $\boxed{56b^{3}w^{4}}$.