Algebra: What is the Lowest common Multiple in Algebraic Expression

The lowest common multiple ( L.C.M) of two or more arithmetical or algebraic expressions is the expression having the least number of factors which  will exactly contain each of the iven expressions.Thus the numbers 4, 6 and 12 will have 12 for their LCM for it exactly contains each of the numbers. it is easier  to find the LCM  of the polynomials like   and

         
  We find that,  while

Therefore, the LCM of the polynomials is

Note:
To find the LCM of two or more expressions, separate each expression into its prime factors. Then take the product of all the different prime factors using each factor the greatest number of times it occurs in any one expression