If two numbers are relatively prime, what is their LCM? Explain your reasoning and give 2 examples supporting your answer.
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If the numbers are relatively prime, they have no common prime factors. The LCM is then the product of the two numbers.
lcm stands for least common multiple which can be found by taking two number and looking for the least common number they both have
When two numbers are relatively prime, it means that they have no common factors other than 1.
To find the Least Common Multiple (LCM) of two numbers that are relatively prime, you can simply multiply the two numbers together. Since they have no common factors, their LCM is equal to their product.
For example, let's consider the numbers 9 and 16.
To determine their LCM, we first need to check if they have any common factors other than 1. In this case, 9 and 16 have no common factors other than 1. Therefore, their LCM is simply the product of the two numbers: LCM(9, 16) = 9 * 16 = 144.
Another example is the numbers 7 and 15. Again, we can check if they have any common factors other than 1, and in this case, they do not. So, the LCM(7, 15) = 7 * 15 = 105.
In both examples, the numbers are relatively prime, and their LCM is simply the product of the two numbers.