Question

gcd × ____ = product of given number ​

Answer 1

Answer:

GCD * LCM = Product of given number

Where LCM = Lowest Common Multiple

Answer 2

Answer:

Concept:

GCD stands for Greatest Common Divisor (also known as Highest Common Factor-HCF) and LCM abbreviated as Least Common Multiple.

Step-by-step explanation:

LCM

• The smallest positive integer that is a multiple of both two integers is known as the least common multiple (LCM). The smallest number that may be divided by both numbers is the LCM (Least Common Multiple) of two numbers. Finding the union of all the elements contained in both numbers is an easy way to solve the problem. Return the result of the union of the elements last.

GCD

• The largest positive integer that divides two integers equally is known as the greatest common divisor, or GCD. The LCM and GCD are combined to create the product of the two numbers.

Let $p$ and $q$ be two numbers whose LCM and GCD can be represented as $LCM(p,q)$ and $GCD(p,q)$ respectively. Then the product of two numbers $p$ and $q$ is given by $p\times q$.  The relationship between them is given by the formula

                                $(p \times q) = LCM(p,q) \times GCD(p,q)$

 Hence,  GCD x LCM = product of given numbers                            

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