传唱 implies oral transmission — songs being passed person to person, generation to generation, especially folk songs and ballads. Common collocations:
广为传唱 'widely sung',
千古传唱 'sung through the ages',
传唱不衰 'sung without fading'. Compare
传播 (chuánbō, 'to disseminate') which is the general 'spread' verb without the singing component.