Question

What is the LCD of `15x^2` and `6x^5`?

Answer 1

`LCM = 30x^5`

Explanation:

The LCD must contain the whole of `15x^2 and 6x^5`, but without any duplicates (which are given by the HCF)

Use the product of prime factors:

`15x^2 = " "3xx5 xx x xx x`
`6x^5 = 2 xx 3" "xx x xx x xx x xx x xx x`

`LCM =2 xx 3 xx 5 xx x xx x xx x xx x xx x`

`LCM = 30x^5`