Question

Find the least common multiple of: 12x^3y^2 and 15x^2y^5

Answer 1

Answer:
`60x^3y^5`

Explanation:

Least Common Multiple :The least positive number that is a multiple of two or more numbers.

To find : The least common multiple of:
`12x^3y^2` and
`15x^2y^5.`

Since,
`12x^3y^2=2*2*3* x^3y^2`

`15x^2y^5=3*5* x^2y^5`

The least common multiple of:
`12x^3y^2` and
`15x^2y^5.` =
`2*2*3*5* x^3y^5=60x^3y^5` [take highest power of x and y ]

Hence, the least common multiple of:
`12x^3y^2` and
`15x^2y^5.` =
`60x^3y^5`