The LCM of two numbers a, b and 72 and 72 > a > b. The biggest possible values of a, b are respectively:
24, 18
24, 9
36, 24
72, 48
Solution
LCM of a and b = 72
$\Rightarrow$ a and v must be factor of 72 and $\because$ 72 > a > b
So, the biggest possible value of a & b will the biggest factors of 72 (except 72)
So, the required values will be 36 & 24.