Question

List two monomials that have a least common multiple of 30xy^2 and a greatest common factor of 3y

Answer 1

Solution- As we know that

The least common multiple of two monomials , is the smallest monomial that is divisible by both monomials .For example 14xy is the least common multiple of 7x and 2y.

and The greatest common divisor of two monomials,, is the largest positive integer that divides each of the monomials. For example, the greatest common divisor of 15xy and 6y is 3y.

As per given two monomials that have

least common multiple =
`30xy^(2)`

greatest common factor =
`3y`

then the required monomials can be
`15y^(2)  \text{ and } 6xy`.