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Q: What two smallest numbers whose greatest common factor is 9 and whose least common multiple is 54?
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What is the greatest common multiple of 18 and 27?

The greatest common multiple of any set of numbers is infinite.


Smallest number that is a multiple of two numbers?

The smallest number that is a multiple of two given numbers is called the least common multiple (LCM) of those two numbers. It can be found by taking the product of the two numbers and dividing it by their greatest common divisor (GCD).


What is the difference between the least common multiple and the greatest common multiple?

The least common multiple, or LCM, is the smallest integer that all the members of a given set of numbers will divide into evenly with no remainder. The greatest common multiple is infinite.


How are greatest common factor and least common multiple different?

The greatest common factor, or GCF, is the largest number that can go into a set of given numbers evenly. The least common multiple, or LCM, is the smallest number that a given set of numbers can go into evenly.


Can two even numbers have a greatest common multiple of 1?

The greatest common multiple of any set of numbers is infinite. The greatest common multiple of any set of numbers will never be one.


What do you call the smallest number that is a multiple of the given numbers?

The least common multiple - that's the smallest multiple that they all have in common


Can you find the greatest common multiple of two numbers?

The greatest common multiple of any two numbers is infinite.


What is the least common multiple of 15 and 25?

The LCM of 15 and 25 is 75. The least common multiple of two numbers is the product of the two numbers divided by their greatest common factor. The greatest common factor of 15 and 25 is 5. (See related question "What is the greatest common factor of 15 and 25?" for this calculation.) So, the least common multiple is 15 x 25 ÷ 5 = 75. The least common multiple (LCM) is often also called the lowest common multiple or smallest common multiple. Keep in mind that these different terms all refer to the same thing: the smallest positive integer which is a multiple of two or more numbers.


When is the product of two numbers divided by the greatest common multiple the least common multiple?

Never. The greatest common multiple of any two numbers is infinite.


What are the least common multiple and the greatest common factor?

The least common multiple, or LCM, is the smallest number that two or more given numbers can divide into evenly with no remainder. The greatest common factor, or GCF, is the largest number that can divide into two or more given numbers evenly with no remainder. Factors go into numbers, numbers go into multiples.


What is the greatest common multiple of 7 and 15?

The greatest common multiple of 7 and 15, like any two numbers, is infinite.The lowest common multiple, the smallest number into which both 7 and 15 divide, is 105The greatest common factor, the largest number which divides both 7 and 15, is 1.


What is the greatest common multiple of 36 and 18?

The GREATEST common multiple is a number approaching infinity. The LEAST common multiple is 540.