Sayyiduna Abdullah bin Abbas (may Allah be pleased with them both) said: Only one prayer is to be prayed with one tayammum. (b) Ibn Zanjawayh likewise narrated this hadith from Abd al-Razzaq, from al-Hasan; and al-Hasan bin Umarah is not to be used as proof.
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الطهارة / 1058