Sets and LCM of Two Numbers
The least common multiple of two positive integers a and b:
- is denoted as LCM(a, b)
- is the smallest positive integer among the common multiples of a and b
- is always a number greater than or equal to the biggest number between a and b
To find the LCM of two positive integers a and b:
- write the prime factorization of a and b
- multiply together all the common and not common factors of the two numbers, each taken once and with its maximum exponent.
Enter two numbers in the app below, and explore the Euler-Venn representation of their factors and their least common multiple.
How would you define the colored area of the diagram above, from a sets point of view?