LCM von zwei großen positiven Ganzzahlen Java

import java.util.Scanner;
import java.math.BigInteger;
public class LCM2N {
    public static void main(String args[]){
        Scanner sc = new Scanner(System.in);
        BigInteger a = sc.nextBigInteger();
        BigInteger b = sc.nextBigInteger();
        System.out.println(a.multiply(b).divide(a.gcd(b)));
     	// lcm(121212121212121212,45678978) = 102534181818181818079284
    }
}
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