18 and 36.
Two and three are relatively prime, or coprime. That means that they have no smaller number, or factor, in common. So, the multiples of both numbers are the multiples of the product of the two, or the multiples of six.
147 and 2500 have no common factors other than 1, so their common multiples are their product, 367,500, and all multiples of 367,500 (735,000, 1,102,500, 1,470,000, 1,837,500, etc.).
If the terms get bigger as you go along, the common difference is positive. If they get smaller, the common difference is negative and if they stay the same then the common difference is 0.
Both 2 and 5 are prime numbers so their product 2 x 5 = 10 is the Lowest (or Least) Common Multiple. The common multiples of 2 and 5 are therefore any number which is a multiple of 10.
There is no "most common multiple". To find all common multiples, you start by finding the least common multiple. All other common multiples are multiples of this least common multiple.
18 and 36
Two and three are relatively prime, or coprime. That means that they have no smaller number, or factor, in common. So, the multiples of both numbers are the multiples of the product of the two, or the multiples of six.
Those are known as "common multiples". The smallest POSITIVE of these common multiples is called the "least common multiple".
The multiples of 2 are all the positive even numbers. For them to be common, they need to be compared to another set of multiples.
Their product.
The LCM of two consecutive numbers is their product. The LCM of two consecutive multiples of 5 is their product divided by 5. Two consecutive numbers cannot be multiples of 5.
The LCM of 8 and 345 is their product, 2760. The rest of the common multiples of 8 and 345 are the infinite set that begins 2760, 5520, 8280, 11,040, 13,800, and so on.
Since the only factor those two numbers have in common is 1, the LCM will be their product. Any other common multiples will be multiples of their product.
None of the positive common divisors of those numbers are multiples of 10.
147 and 2500 have no common factors other than 1, so their common multiples are their product, 367,500, and all multiples of 367,500 (735,000, 1,102,500, 1,470,000, 1,837,500, etc.).
The LCM of 7 and 9 is their product. There is no common multiple that is smaller.
0 The positive multiples are: 6, 12, 18 & 24. Also, all the negative multiples of 6!