PAYE or LTD for first job?

At the same time a driver is paying 12% Employee’s NI the agency is paying 13.8% Employer’s NI. So if an agency driver on PAYE works for two different agencies in one week both agencies would want to claim the driver’s £162 NI tax free allowance so that they didn’t have to pay 13.8% x £162 = £22.36 Employer’s NI.