# A LCM Fact

2,520 is the “smallest” number which is divisible by “all” numbers from 1 to 10.

How? Why?

LCM = Least Common Multiple

So,

LCM (1,2,3,4,5,6,7,8,9,10)

= 5 x 7 x 2^3 x 3^2

= 5 x 7 x 8 x 9

= (8 x 5) x (9 x 7)

= 40 x 63

= 2,520 (Answer)