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).

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

Offset: 1

Author

J. Lowell, Feb 14 2013

Keywords

• nonn

Comments

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

Examples

			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.