Find the LCM of the following by prime on method 1. 30 .36
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Prime factorization of 30 and 36 is (2 × 3 × 5) = 21 × 31 × 51 and (2 × 2 × 3 × 3) = 22 × 32 respectively. LCM of 30 and 36 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 22 × 32 × 51 = 180. Hence, the LCM of 30 and 36 by prime factorization is 180.
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