#![allow(non_snake_case, unused_imports, unused_must_use, unused_macros)]
use std::io::{self, prelude::*, BufWriter, StdinLock, StdoutLock};
use std::str;
use std::collections::BTreeSet;

fn main() {
    macro_rules! input {
        ($T: ty) => {
            scan.token::<$T>()
        };
        ($T: ty, $N: expr) => {
            (0..$N).map(|_| scan.token::<$T>()).collect::<Vec<_>>()
        };
    }

    let (stdin, stdout) = (io::stdin(), io::stdout());
    let mut scan = Scanner::new(stdin.lock());
    let mut out = io::BufWriter::new(stdout.lock());

    // let t = input!(scan, usize);
    let t = 1;
    for _ in 0..t {
        solve(&mut scan, &mut out);
    }
}

fn get_divisors(n: u64) -> Vec<u64> {
    let mut divisors = vec![];
    for i in 1.. {
        if i * i > n {
            break;
        }
        if n % i == 0 {
            divisors.push(i);
            if i * i != n {
                divisors.push(n / i);
            }
        }
    }
    // divisors.sort();
    divisors
}

fn solve(scan: &mut Scanner<StdinLock>, out: &mut BufWriter<StdoutLock>) {
    macro_rules! input {
        ($T: ty) => {
            scan.token::<$T>()
        };
        ($T: ty, $N: expr) => {
            (0..$N).map(|_| scan.token::<$T>()).collect::<Vec<_>>()
        };
    }
    let A = input!(usize);
    let B = input!(usize);
    let a = input!(usize);
    let b = input!(usize);

    for x in 1..100000000 {
        if x % A == a && x % B == b {
            writeln!(out, "{}", x);
            return;
        }
    }


}

struct Scanner<R> {
    reader: R,
    buf_str: Vec<u8>,
    buf_iter: str::SplitWhitespace<'static>,
}

impl<R: BufRead> Scanner<R> {
    fn new(reader: R) -> Self {
        Self {
            reader,
            buf_str: vec![],
            buf_iter: "".split_whitespace(),
        }
    }

    fn token<T: str::FromStr>(&mut self) -> T {
        loop {
            if let Some(token) = self.buf_iter.next() {
                return token.parse().ok().expect("Failed parse");
            }
            self.buf_str.clear();
            self.reader
                .read_until(b'\n', &mut self.buf_str)
                .expect("Failed read");
            self.buf_iter = unsafe {
                let slice = str::from_utf8_unchecked(&self.buf_str);
                std::mem::transmute(slice.split_whitespace())
            }
        }
    }
}