Answer:
The question "What is the LCM and GCF of 12 and 15?" can be split into two questions: "What is the LCM of 12 and 15?" and "What is the GCF of 12 and 15?"
In the question "What is the LCM and GCF of 12 and 15?", LCM is the abbreviation of Least Common Multiple and GCF is the abbreviation of Greatest Common Factor.
To find the LCM, we first list the multiples of 12 and 15 and then we find the smallest multiple they have in common. To find the multiples of any number, you simply multiply the number by 1, then by 2, then by 3 and so on. Here is the beginning list of multiples of 12 and 15:
Multiples of 12: 12, 24, 36, 48, 60, 72, etc.
Multiples of 15: 15, 30, 45, 60, 75, 90, etc.
The least multiple on the two lists that they have in common is the LCM of 12 and 15. Therefore, the LCM of 12 and 15 is 60.
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