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# Compute the gcd and LCM of two numbers?

If you have the gcd or the LCM of two numbers, call them a and b, you can use the relationship that gcd(a,b) = (a multiplied by b) divided by LCM (a,b) where LCM or gcd (a,b) means the LCM or a and b. This means the gcd multiplied by the LCM is the same as the product of two numbers.

Let's assume you have neither.

There are several ways to do this. One way to approach both problems at once is to factor each number into primes. You can use these prime factorizations to find both the LCM and gcd

To compute the Greatest common divisor, list the common prime factors and raise each to the least multiplicities that occurs among the several whole numbers.

To compute the least common multiple, list all prime factors and raise each to the greatest multiplicities that occurs among the several whole numbers. Study guides

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## A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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