Example: 30 and 42
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Combine the factors, eliminating duplicates
2 x 3 x 5 x 7 = 210, the LCM
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You need at least two numbers to find a GCF.
Whatever you use, you need at least two numbers to find a GCF.
You need at least two numbers to find an LCM no matter what you use.
Divide prime numbers into it. Start with 2. Do that four times. Then try 3. Stop.
That is not what prime factorization is for.