Find the number of positive integers that are $$$\le n$$$ and is coprime to $$$\text{lcm}(1, 2, 3, \dots, x)$$$ where $$$n$$$ and $$$x$$$ are positive integers. Maybe have $$$n\le 10^{15}$$$ and $$$x\le 10^{12}$$$.
A problem I made but don't know how to solve
Find the number of positive integers that are $$$\le n$$$ and is coprime to $$$\text{lcm}(1, 2, 3, \dots, x)$$$ where $$$n$$$ and $$$x$$$ are positive integers. Maybe have $$$n\le 10^{15}$$$ and $$$x\le 10^{12}$$$.