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That's a lot of extra work for this problem but here goes. 3 is already prime so it doesn't really have a factor tree or prime factorization. The prime factorization of 4 is 2 x 2 which looks like this in a factor tree.
4
2,2
3 and 4 have no common prime factors, so the LCM is their product, 12

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Q: What is the LCM with prime factorization using a factor tree using numbers 3 and 4?
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