1
 
                                                                    EXHIBIT 23.1
 
                       CONSENT OF INDEPENDENT ACCOUNTANTS
 
     We hereby consent to the incorporation by reference in the prospectuses
constituting part of the Registration Statement on Form S-8 listed below of RMI
Titanium Company of our report dated January 23, 1998, appearing on page 23 of
this annual report on Form 10-K.
 
     File No. 33-36248 Relating to the RMI 1989 Stock Option Incentive Plan
 
     File No. 33-38340 Relating to the RMI Bargaining Unit Employees Savings and
     Investment Plan
 
     File No. 33-38339 Relating to the RMI Savings and Investment Plan
 
     File No. 33-63025 Relating to the RMI Titanium Company 1995 Stock Plan
 
Price Waterhouse LLP
Pittsburgh, Pennsylvania
March 27, 1998