Product of two positive number is 34560. The LCM is sixty times of its GCD. Then the difference of LCM and GCD is
1416
1424
1460
1464
Explanation:
$LCM=60 \times GCD$
$ LCM \times GCD=Product of two numbers$
$60 \times GCD \times GCD=34560$
$GCD^{2}=\dfrac{34560}{6}=576$
$GCD=24$
$ LCM \times GCD=Product of two numbers$
LCM=product of two numbers $\times$ GCD
$=\dfrac{34560}{24}$
=1440
Difference=1440-24
=1416