How can you find the least common multiple (LCM) if you do not know the prime factors of two numbers?

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Finding the least common multiple (LCM) can be achieved through various methods, and one effective way is to list the multiples of both numbers. When you create a list of multiples for both numbers, you are systematically generating numbers that both values can divide into evenly.

By examining these lists, the smallest number that appears in both is the LCM. This approach is particularly useful when you don't have the prime factorization of the numbers, as it allows for a clear visual comparison. It not only helps in understanding the concept of multiples but also reinforces the idea that the LCM is the lowest number that is common to both sets of multiples.

Using a calculator could provide a direct answer, but it does not reinforce your understanding of how the LCM works. Dividing both numbers by 2 until you reach one will not necessarily help you find the LCM, and simply adding the two numbers together does not provide any meaningful information about their common multiples. Thus, listing the multiples is a straightforward and effective method to determine the LCM.

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