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                                                                      EXHIBIT 23
 
                              ACCOUNTANTS' CONSENT
 
The Boards of Directors
Iridium World Communications Ltd., Iridium LLC, and Iridium Operating LLC:
 
     We consent to incorporation by reference in the registration statements
(Nos. 333-23419 and 333-23419-01) on Form S-8 of Iridium World Communications
Ltd. and Iridium LLC of our reports dated January 16, 1998, relating to (i) the
balance sheets of Iridium World Communications Ltd. as of December 31, 1997 and
1996, and the related statements of loss, stockholders' equity, and cash flows
for the year ended December 31, 1997, and for the period December 12, 1996
(inception) through December 31, 1996, (ii) the consolidated balance sheets of
Iridium LLC and subsidiaries as of December 31, 1997 and 1996, and the related
consolidated statements of loss, members' equity (deficit), and cash flows for
each of the years in the three-year period ended December 31, 1997, and the
period June 14, 1991 (inception) through December 31, 1997, (iii) the
consolidated balance sheets of Iridium Operating LLC and subsidiaries as of
December 31, 1997 and 1996, and the related consolidated statements of loss,
member's equity (deficit), and cash flows for each of the years in the
three-year period ended December 31, 1997, and the period June 14, 1991
(inception) through December 31, 1997, and (iv) the related financial statement
schedule of Iridium LLC, which reports appear in the December 31, 1997 annual
report on Form 10-K of Iridium World Communications Ltd., Iridium LLC, and
Iridium Operating LLC.
 
                                                           KPMG Peat Marwick LLP
 
McLean, Virginia
March 23, 1998