<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0304</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2011-11-28</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001507934</issuerCik>
        <issuerName>Liberty Media Corp</issuerName>
        <issuerTradingSymbol>LMCA</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001120556</rptOwnerCik>
            <rptOwnerName>ROMRELL LARRY E</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>12300 LIBERTY BLVD.</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>ENGLEWOOD</rptOwnerCity>
            <rptOwnerState>CO</rptOwnerState>
            <rptOwnerZipCode>80112</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

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                <value>Series A Liberty Starz Common Stock</value>
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    </nonDerivativeTable>

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            </ownershipNature>
        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
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            </conversionOrExercisePrice>
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                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F3"/>
            </exerciseDate>
            <expirationDate>
                <value>2014-12-24</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Series A Liberty Capital Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>581</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>581</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Option (right to buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>26.03</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2011-11-28</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>1160</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F3"/>
            </exerciseDate>
            <expirationDate>
                <value>2015-12-16</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Series A Liberty Starz Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>1160</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Option (right to buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>29.54</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2011-11-28</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>1022</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F3"/>
            </exerciseDate>
            <expirationDate>
                <value>2015-12-16</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Series A Liberty Capital Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>1022</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1022</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">On November 28, 2011, Liberty Media Corporation (&quot;Liberty&quot;) converted all outstanding shares of its Liberty Starz common stock into shares of its Liberty Capital common stock (the &quot;Conversion&quot;). In the Conversion, (i) each outstanding share of Series A Liberty Starz common stock was converted into 0.88129 of a share of Series A Liberty Capital common stock and (ii) each outstanding share of Series B Liberty Starz common stock was converted into 0.88129 of a share of Series B Liberty Capital common stock, with cash paid in lieu of the issuance of fractional shares in each case. The Conversion was effected by action of the Liberty board of directors in accordance with Article IV, Section A.2(b)(ii) of Liberty's restated certificate of incorporation.</footnote>
        <footnote id="F2">All outstanding equity awards with respect to Series A Liberty Starz common stock and Series B Liberty Starz common stock (each such equity award a &quot;LSTZ equity award&quot;) were automatically converted into equity awards with respect to Series A Liberty Capital common stock and Series B Liberty Capital common stock, respectively (each such equity award a &quot;LCAP equity award&quot;). Each LCAP equity award remains subject to the terms and conditions of the corresponding LSTZ equity award in all material respects. The number of shares of Liberty Capital common stock subject to such LCAP equity award was determined by multiplying the shares of Liberty Starz common stock subject to the LSTZ equity award by 0.88129. The per share exercise price or per share base price, as applicable, of each LCAP equity award is equal to the per share exercise price or per share base price, respectively, of the LSTZ equity award divided by 0.88129.</footnote>
        <footnote id="F3">The derivative security is fully vested.</footnote>
    </footnotes>

    <remarks>In connection with the completion of the Conversion, on November 29, 2011 the trading symbol for Series A Liberty Capital common stock changed from LCAPA to LMCA and the trading symbol for Series B Liberty Capital common stock changed from LCAPB to LMCB.</remarks>

    <ownerSignature>
        <signatureName>/s/ Pamela L. Coe as Attorney-in-fact for Larry E. Romrell</signatureName>
        <signatureDate>2011-11-30</signatureDate>
    </ownerSignature>
</ownershipDocument>
