A group of Archaeologists discovered some simple hieroglyphs on the stone lid of a tomb in Egypt. When they translated them they realized that it was a four digit number, but more remarkably it is the smallest number that can be divided by all of the numbers from 1 to 10 without any remainder. What was that number?
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Putting the numbers as under:-
1,~~ 2^1,~~3^1,~~2^2,~~5^1,~~2^1*3^1,~~7^1,~~2^3,~~3^2, ~~2^1*5^1, \\\text{ We see that the primes appearing are,'' 2, 3 5 7'' their product with}\\\text{ highest power= 2^3*3^2*5^1*7^1 = } \boxed{\color{#D61F06}{2520} }