Question

Find the least common multiple of these two expressions:
4v^3y^5 and 18u^4v^2y^6

Answer 1

hint: \(\bf \begin{cases}
4v^3y^5\implies &2\cdot {\color{blue}{ 2}}\cdot {\color{blue}{ v\cdot v}}\cdot v\cdot {\color{blue}{ y\cdot y\cdot y\cdot y\cdot y }}
\\ \quad \\ \quad \\
18u^4v^2y^6\implies &3\cdot 3\cdot {\color{blue}{ 2}}\cdot u\cdot u\cdot u\cdot u\cdot {\color{blue}{ v\cdot v}} \cdot {\color{blue}{ y\cdot y\cdot y\cdot y\cdot y }}\cdot y
\end{cases}\)

Answer 2

So would the answer be 36v^3u^4y^6?

Answer 3

well, you're being asked for the LCM, or LCD or GCF, usually goes by any of those names

so.... what factors are COMMON to both terms?

Answer 4

2v^2y^5