Question

If HCF (a, b) = 16 and a x b = 512, Then find LCM (a,b).​

Answer 1

Given :

HCF of two numbers a and b = 16

Product of a and b = 512

To find :

LCM of a and b

Solution :

We know that :-

$\boxed{ \rm HCF \times LCM = Product \: of \: the \: given \: two \: numbers }$

Now, according to the question :-

$\rm \longrightarrow HCF \times LCM = a \times b$

$\rm \longrightarrow 16\times LCM = 512$

$\rm \longrightarrow LCM = \dfrac{512}{16}$

$\rm \longrightarrow LCM = 32$

Answer :

LCM of a and b = 32