find the LCM of 12,30,by using prime factorization method i want answer fast plz
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Answer: List all prime factors for each number.
Prime Factorization of 12 is:
2 x 2 x 3 => 22 x 31
Prime Factorization of 30 is:
2 x 3 x 5 => 21 x 31 x 51
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is
2, 2, 3, 5
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 3 x 5 = 60
In exponential form:
LCM = 22 x 31 x 51 = 60
LCM = 60
Therefore,
LCM(12, 30) = 60
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