Question 95663
6= 2.3
What would you like to use on 6; no other prime divides 6.
8= 2.2.2=2
Again: what prime would you like to use other than 2; it wouldn't divide 8   
LCM=2.2.2.3=24 

--------------
Try some larger number like 3599
It's factors are 59 and 61; are they prime?
If they are they may be the smallest primes that divide 3599.
------------------
Good thinking on the prime question; that is what leads to new discoveries.
==================
Cheers,
Stan H.