36288 WRONG!
(1*2*3*4*5*6*7*8*9)/10 WRONG!
I obviously misreads the question. after writing a simple visual basic program, see below. I am changing my answer to "does not exist." as the program failed to return a value.
Private Sub Command0_Click()
Dim i As Long
i = 1
Do While i Mod 9 > 0 Or i Mod 10 = 0
i = i + 1
Do While i Mod 8 > 0 Or i Mod 10 = 0
i = i + 1
Do While i Mod 7 > 0 Or i Mod 10 = 0
i = i + 1
Do While i Mod 6 > 0 Or i Mod 10 = 0
i = i + 1
Do While i Mod 5 > 0 Or i Mod 10 = 0
i = i + 1
Do While i Mod 4 > 0 Or i Mod 10 = 0
i = i + 1
Do While i Mod 3 > 0 Or i Mod 10 = 0
i = i + 1
Do While i Mod 2 > 0 Or i Mod 10 = 0
i = i + 1
Loop
Loop
Loop
Loop
Loop
Loop
Loop
Loop
MsgBox i
End Sub
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The smallest number that is divisible by all the numbers 2 through 12 is 27,720.
Numbers that are divisible by 2 through the number 12 are: 4, 6, 8, 10 and 12.
No odd numbers are divisible by even numbers.
All numbers are divisible by 1. So, apart from the number 1, all numbers are divisible by another number. These numbers are therefore prime or composite.
All numbers are divisible.