Question 786566
<pre>
What is the smallest number that has 2,3,4,5 and 6 as factors

<pre>
Number  Factorization    How many 2's   How many 3's   How many 5's
  2         2                  1              0              0
  3 =       3                  0              1              0
  4 =     2·2                  2              0              0
  5 =       5                  0              0              1
  6 =     2·3                  1              1              0

So the most number of 2's any one of them has is 2.
   the most number of 3's any one of them has is 1.
   the most number of 5's any one of them has is 1.

So the least common multiple of 2,3,4,5,and 6, has 2 2's, 1 3, and 1 5

LCM = 2·2·3·5 = 60

Edwin</pre>