Q3 of 57 Page 25

Find the HCF and LCM of the following integers by applying the prime factorization method.

24, 15 and 36


The numbers are expressed as follows:

24 = 2 × 2 × 2 × 3


15 = 3 × 5


36 = 2 × 2 × 3 × 3


So for finding the HCF we may write as follows:



So HCF = 3


For finding the LCM we may write as follows:



So LCM = 23 × 32 × 5


= 360


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