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Prime factorization of 24 and 36 is (2 × 2 × 2 × 3) = 23 × 31 and (2 × 2 × 3 × 3) = 22 × 32 respectively. LCM of 24 and 36 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 23 × 32 = 72. Hence, the LCM of 24 and 36 by prime factorization is 72.
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