What is the relationship between two natural numbers (non-zero) and their greatest common factor and least common multiple

What is the relationship between two natural numbers (non-zero) and their greatest common factor and least common multiple

Common factor
If several integers can be divided by the same integer Q, then the integer q is called the common factor of those numbers
For example:
6. 18 and 30 can be divided by 1, so 1 is the common factor of 6, 18 and 30;
6. 18 and 30 can be divided by 2, so 2 is the common factor of 6, 18 and 30;
6. 18 and 30 can be divided by 3, so 3 is the common factor of 6, 18 and 30;
6. 18 and 30 can be divided by 6, so 6 is the common factor of 6, 18 and 30
In other words, 1, 2, 3 and 6 are the common factors of 6, 18 and 30
When the range of numbers learned by learners is expanded to negative numbers, the range of common factors is correspondingly expanded to negative integers
Common multiple
Common multiple is the common multiple of two or more numbers
For example, the common multiple of 5, 6 and 10 is 30
The common factor is the common factor of two or more numbers
For example, the common factor of 8, 6 and 4 is 2
However, the common multiple and common factor are divided into the least common multiple common factor and the greatest common multiple common factor
Their biggest differences are: the common multiple is any common multiple between them; the common factor is any common factor between them; the least common multiple is the smallest one among all their common multiples, such as: 3 and 6 common multiples are 6; the least common factor is the smallest one among their common factors, For example: the least common divisor of 3 and 6 is 3; the greatest common divisor is the largest one of their common divisors (generally people will not ask this question, what is the greatest common divisor of XX, because their greatest common divisor is infinite); the greatest common divisor is the smallest one of their common divisors

a. B is two different prime numbers, then the greatest common factor of a and B is______ The least common multiple of a and B is______ ．

Because a and B are two different prime numbers, a and B must be coprime numbers, so the greatest common factor of a and B is 1 and the least common multiple is ab