Determine Whether the Statement Is True or False $\mathrm { p }$

True/False

Determine whether the statement is true or false.
-If the least common multiple of $\mathrm { p }$ and $\mathrm { q }$ is smaller than $\mathrm { pq }$ , then $\mathrm { p }$ and $\mathrm { q }$ have a common factor other than 1 .