Answer: [tex]60x^3y^5[/tex]
Step-by-step explanation:
Least Common Multiple :The least positive number that is a multiple of two or more numbers.
To find : The least common multiple of: [tex]12x^3y^2[/tex] and [tex]15x^2y^5.[/tex]
Since, [tex]12x^3y^2=2\times2\times3\times x^3y^2[/tex]
[tex]15x^2y^5=3\times5\times x^2y^5[/tex]
The least common multiple of: [tex]12x^3y^2[/tex] and [tex]15x^2y^5.[/tex] = [tex]2\times2\times3\times5\times x^3y^5=60x^3y^5[/tex] [take highest power of x and y ]
Hence, the least common multiple of: [tex]12x^3y^2[/tex] and [tex]15x^2y^5.[/tex] = [tex]60x^3y^5[/tex]
