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A212654 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). 0
1, 2, 4, 6, 12, 24, 60, 120, 360, 720, 3600, 5040, 25200, 55440, 277200, 720720, 3603600, 10810800, 21621600, 122522400, 367567200, 2327925600, 6983776800, 48886437600, 97772875200, 293318625600, 3226504881600, 6746328388800, 74209612276800, 195643523275200 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

What is the smallest number in this sequence divisible by 27?

LINKS

Table of n, a(n) for n=1..30.

EXAMPLE

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.

CROSSREFS

Sequence in context: A168263 A162936 A036484 * A337993 A093036 A340548

Adjacent sequences:  A212651 A212652 A212653 * A212655 A212656 A212657

KEYWORD

nonn

AUTHOR

J. Lowell, Feb 14 2013

STATUS

approved

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Last modified September 20 23:04 EDT 2021. Contains 347596 sequences. (Running on oeis4.)