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

    <schemaVersion>X0303</schemaVersion>

    <documentType>4/A</documentType>

    <periodOfReport>2009-08-05</periodOfReport>

    <dateOfOriginalSubmission>2009-08-06</dateOfOriginalSubmission>

    <issuer>
        <issuerCik>0001054374</issuerCik>
        <issuerName>BROADCOM CORP</issuerName>
        <issuerTradingSymbol>BRCM</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001463220</rptOwnerCik>
            <rptOwnerName>KIM NEIL Y.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>5300 CALIFORNIA AVENUE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>IRVINE</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>92617</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>SVP, Ops. &amp; Central Eng.</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A common stock</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <transactionDate>
                <value>2009-08-05</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>62</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                    <footnoteId id="F3"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>108116</value>
                    <footnoteId id="F4"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The securities awarded on 08/05/2009 are in the form of restricted stock units that will entitle the Reporting Person to receive one share of Class A common stock per restricted stock unit. The restricted stock units will vest, and the underlying shares will be concurrently issued in a series of two annual installments upon the Reporting Person's completion of each year of service over the period measured from 05/05/2009 through 05/05/2011.  The RSUs will vest on an accelerated basis upon the Reporting Person's termination of employment with the Issuer under certain prescribed circumstances.</footnote>
        <footnote id="F2">Due to an administrative error, the grant of the restricted stock units reported herein was omitted from the Reporting Person's original Form 4, and was also omitted from one Form 4 filed by the Reporting after his original Form 4 was filed.</footnote>
        <footnote id="F3">The securities were awarded in an exempt transaction pursuant to SEC Rule 16b-3(d).</footnote>
        <footnote id="F4">Includes (i) 28,676 shares that are held as Class A common stock and (ii) 79,440 shares in the form of restricted stock units that will entitle the Reporting Person to receive one share of Class A common stock per restricted stock unit.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Neil Y. Kim</signatureName>
        <signatureDate>2010-01-11</signatureDate>
    </ownerSignature>
</ownershipDocument>
