SOLUTION: the LCM and HCF of 2 numbers are 20 and 5.find the numbers

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Question 710651: the LCM and HCF of 2 numbers are 20 and 5.find the numbers
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
20 = 2·2·5
Both numbers must have factor 5. They cannot both have a factor of 2,
for then 10 would be a higher common factor than 5. The smaller can
have no other prime factor than 5 for if it had another, it would be
a factor of the LCM. Thus the smaller number is 5. The larger number
must contain only factors 2·2 as well as 5. So the two numbers are 5
and 20.