Given that $\mathrm{HCF}(2520, 6600)=40$,  $\mathrm{LCM}(2520, 6600)=252\times k$ then the value of $k$ is

According to Euclid's division algorithm HCF of any two positive integers $a$ and $b$ with $a>b$ is obtained by applying Euclid's division lemma to $a$ and $b$ to find $q$ and $r$ such that  $a=bq+r$ where $r$ must satisfy