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

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2021-06-16</periodOfReport>

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001806952</issuerCik>
        <issuerName>Lyell Immunopharma, Inc.</issuerName>
        <issuerTradingSymbol>LYEL</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001411874</rptOwnerCik>
            <rptOwnerName>FRIEDMAN CATHY</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O LYELL IMMUNOPHARMA, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>400 EAST JAMIE COURT, SUITE 301</rptOwnerStreet2>
            <rptOwnerCity>SOUTH SAN FRANCISCO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94080</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>100000</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                    <footnoteId id="F2"/>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>The Duane Irrevocable Trust 2020</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeHolding>
            <securityTitle>
                <value>Series A Convertible Preferred Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>1.8288</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F3"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F3"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>3765842</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>Lyell Investors, LLC</value>
                    <footnoteId id="F4"/>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Option (right to buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>5.81</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F5"/>
            </exerciseDate>
            <expirationDate>
                <value>2030-05-18</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>400000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Option (right to buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>5.96</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F6"/>
            </exerciseDate>
            <expirationDate>
                <value>2030-12-16</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>250000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">1/4 of the shares vested on August 1, 2019, with the remaining shares to vest in equal monthly installments over the following thirty-six months.</footnote>
        <footnote id="F2">The Reporting Person is a trustee of The Duane Irrevocable Trust 2020 (&quot;Duane Trust&quot;) and therefore may be deemed to share the power to direct the disposition and vote of the shares held by the Duane Trust. The Reporting Person disclaims beneficial ownership of all shares held by Duane Trust except to any pecuniary interest therein.</footnote>
        <footnote id="F3">The Series A Convertible Preferred Stock is convertible at any time, at the Reporting Person's election, has no expiration date, and will automatically convert to shares of the Issuer's Common Stock immediately prior to the closing of the Issuer's initial public offering on a 1-for-1 basis.</footnote>
        <footnote id="F4">The Reporting Person is a member of Lyell Investors, LLC and therefore may be deemed to share the power to direct the disposition and vote of the shares held by Lyell Investors, LLC. The Reporting Person disclaims beneficial ownership of all shares held by Lyell Investors, LLC except to any pecuniary interest therein.</footnote>
        <footnote id="F5">The shares vest in equal monthly installments over the thirty-six months following August 8, 2018. The option provides for an early-exercise provision and is exercisable as to unvested shares, subject to the Issuer's right of repurchase.</footnote>
        <footnote id="F6">The shares vest in equal monthly installments over the thirty-six months following January 1, 2021. The option provides for an early-exercise provision and is exercisable as to unvested shares, subject to the Issuer's right of repurchase</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Heather D. Turner, as Attorney-in-fact</signatureName>
        <signatureDate>2021-06-16</signatureDate>
    </ownerSignature>
</ownershipDocument>
