Question

11. A-2^3x3^2x5^4 B=2^2x3^3x5^n

Given that the lowest common Multiple (LCM) of A and B is 3375000. Find the value of the integer n. Show your working clearly

Answer 1

Hi,

n=6

Explanation:

`A=2^3*3^2*5^4\\B=2^2*3^3*5^n\\\\LCM(A,B)=2^3*3^3*5^(max(4,n))=3375000=2^3*3^3*5^6\\\Longrightarrow\ n=6\\`