Answer :
Use the relation [tex]a~\times~b=\text{HCF}\times\text{LCM}[/tex].
[tex]54~\times~81~=~27\times\text{LCM}\implies\text{LCM}=\dfrac{54~\times~81}{27}~=~162[/tex]
[tex]54~\times~81~=~27\times\text{LCM}\implies\text{LCM}=\dfrac{54~\times~81}{27}~=~162[/tex]
given,
the two numbers are 54 and 81
hcf = 27
product of two numbers = hcf ×lcm
⇒ 54×81=27×lcm
lcm= (54×81)÷27
= 162
therefore 162 is the lcm