Question

2. Find the LCM of the following numbers
by prime factorisation.
a) 32, 48
​

Answer 1

The prime factorization of 32 is: 2 x 2 x 2 x 2 x 2. The prime factorization of 48 is: 2 x 2 x 2 x 2 x 3. Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(32,48) = 96

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Answer 2

Note the circled number are common factor of both the number i.e. 32 & 48