Question

if the HCF of two numbers is one of the numbers then their LCM is the other number​

Answer 1

$\rule{200}3$

$\color{red}\huge{\underline{\underline{\mathfrak{Question:-}}}}$

if the HCF of two numbers is one of the numbers then their LCM is the other number

$\rule{200}3$

$\color{blue}\huge{\underline{\underline{\mathfrak{Answer}}}}$

LCM=xy

It can be equal to 1 and any other number also

$\rule{200}3$

$\color{orange}\huge{\underline{\underline{\mathfrak{Solution:-}}}}$

If the HCF of two numbers is 1 then they are coprimes.

So, now

${\blue{\bold{ Let\:the\:numbers\:x\:and\:y }}}$

Now

Given:- HCF=1

So, common factors of x and y is 1

And on doing the factors

${\blue{\bold{ We\:get }}}$

x = 1×x

and y = 1×y

So, LCM = 1×1×x×y

OR

xy

$\rule{200}3$

Hope it helps✌