What number is divisible by all numbers 1-13?

Answer 1

14

Answer 2

360360, 720720, 1081080, 1441440, 1801800, 2162160, 2522520, 2882880, 3243240, 3603600, 3963960, 4324320, 4684680, 5045040, 5405400, 5765760, 6126120, 6486480, 6846840, 7207200, 7567560, 7927920, 8288280, 8648640, 9009000, 9369360, 9729720, 10090080, 10450440, 10810800, 11171160, 11531520, 11891880, 12252240, 12612600, 12972960, 13333320, 13693680, 14054040, 14414400, 14774760, 15135120, 15495480, 15855840, 16216200, 16576560, 16936920, 17297280, 17657640, 18018000, 18378360, 18738720, 19099080, 19459440, 19819800, 20180160, 20540520, 20900880, 21261240, 21621600, 21981960, 22342320, 22702680, 23063040, 23423400, 23783760, 24144120, 24504480, 24864840, 25225200, 25585560, 25945920, 26306280, 26666640, 27027000, 27387360, 27747720, 28108080, 28468440, 28828800, 29189160, 29549520, 29909880, 30270240, 30630600, 30990960, 31351320, 31711680, 32072040, 32432400, 32792760, 33153120, 33513480, 33873840, 34234200, 34594560, 34954920, 35315280, 35675640, 36036000, ...

are all divisible by all the numbers 1-13.

2 = 2

3 = 3

4 = 22

5 = 5

6 = 2 x 3

7 = 7

8 = 23

9 = 32

10 = 2 x 5

11 = 11

12 = 22 x 3

13 = 13

lcm = 23 x 32 x 5 x 7 x 11 x 13 = 360360