Question

The GCD(a, b) = 18, LCM(a, b) = 108. If a=36, findb.

Answer 1

$\textbf{Answer}$

$\textbf{GCD means Greatest Common Divisor}$

$\textbf{LCM means Least Common Multiple}$

We know the relation that if there are two numbers a and b,
$\textbf{GCD × LCM = a × b}$ -----(1)

GCD = 18
LCM = 108
a = 36
b = ?

Lets put the values in equation (1),

18 × 108 = 36 × b

=> 36 × b = 108 × 18

=> b = (108 × 18) / 36

=> b = 54


$\textbf{Value of b is 54}$


$\textbf{Hope It Helps}$

$\textbf{Thanks}$

Answer 2

Thanks for asking question

18×108 = 36×b

b = 180×18/36

b = 54


I hope it's help you