Exporting RSA key object to XML in Java

I am successfully running RSA encryption/decryption in Java. This is how I generated the key.

        ObjectOutputStream oos = new ObjectOutputStream(new FileOutputStream(path));
        KeyPairGenerator kpg = KeyPairGenerator.getInstance("RSA");
        kpg.initialize(1024);
        KeyPair keypair = kpg.generateKeyPair();
        oos.writeObject(keypair);

But now I need to integrate my system with .Net code. Is it possible to export this KeyPair object into XML in the following format(as that .Net code can only accept keys in XML format):

<RSAKeyValue>
    <Modulus>.....</Modulus>
    <Exponent>......</Exponent>
    <P>.....</P>
    <Q>....</Q>
    <DP>.......</DP>
    <DQ>......</DQ>
    <InverseQ>.........</InverseQ>
    <D>........</D>
</RSAKeyValue>