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%I #19 Mar 12 2013 13:05:42
%S 1,2,4,6,12,24,60,120,360,720,3600,5040,25200,55440,277200,720720,
%T 3603600,10810800,21621600,122522400,367567200,2327925600,6983776800,
%U 48886437600,97772875200,293318625600,3226504881600,6746328388800,74209612276800,195643523275200
%N LCM of the first few p-smooth numbers for a prime number p if in A007416; otherwise smallest number with same number of divisors (see example for details).
%C What is the smallest number in this sequence divisible by 27?
%e Term after 720 is 3600 because 720 is a 5-smooth number divisible by all 5-smooth numbers less than 25, and LCM of 720 and 25 is 3600.Term after 3600 is 5040 because 3600 is a 5-smooth number; divisible by all 5-smooth numbers less than 27, and LCM of 3600 and 27 is 10800, but 10800 has 60 divisors and smallest number with 60 divisors is 5040.
%K nonn
%O 1,2
%A _J. Lowell_, Feb 14 2013
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