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To find the HCF you first have to write the numbers as their prime factors:
36 = 2x2x3x3
75 = 3x5x5
The next step is to identify any common prime factors. In this case both numbers have 3 as a prime factor. Thus the HCF is 3.
To find the LCM you need to multiply the numbers together and divide by the HCF. 36x75/3 = 900
Thus the LCM of 36 and 75 is 900.
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