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To do this you first need to express each number as a product of their prime factors:
36 = 2x2x3x3
60 = 2x2x3x5
The next step is to identify any common prime factors. In this case, both numbers have a 2 a 2 and a 3 as prime factors. Multiply these together and you get 12. Therefore the HCF of 36 and 60 is 12.
To find the LCM, multiply the numbers together and divide by the hcf:
36x60/12 = 180
So 180 is the LCM of 36 and 60.
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