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Year 9 Interactive Maths - Second Edition


The Lowest Common Multiple (LCM) of Expressions

You will recall that the LCM of 4 and 6 is 12.  This is found as follows:


Method for Finding the LCM

  • Factorise each expression
  • Find the product of each factor with the highest power which occurs in the given expressions.

    This product represents the LCM of the expressions.


Example 10

Find the LCM of x 8 and 8 – x.

Solution:


Example 11

Solution:


Example 12

Solution:


Example 13

Solution:


Key Terms

lowest common multiple, LCM


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