Does battery affect smc problem

I had this problem from a week before. It does say my battery need to change and my laptop kept randomly shut down. I restarted the smc and after i restarted the mac wont turn on but after i force turn on the fan spinning in full speed and i kept restarting the smc and the mac wont turn on and this always continue. I do not know if battery affect with smc problem especially the full fan speed but there is chance that the logicboard broke too. Should i replace the battery??? (Sorry for bad english)