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    <periodOfReport>2022-04-07</periodOfReport>

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    <issuer>
        <issuerCik>0001580156</issuerCik>
        <issuerName>Houghton Mifflin Harcourt Co</issuerName>
        <issuerTradingSymbol>HMHC</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001585194</rptOwnerCik>
            <rptOwnerName>Bayers William Frederick</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O HOUGHTON MIFFLIN HARCOURT</rptOwnerStreet1>
            <rptOwnerStreet2>125 HIGH STREET</rptOwnerStreet2>
            <rptOwnerCity>BOSTON</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02110</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
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            <isOfficer>1</isOfficer>
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            <officerTitle>EVP, Sec. &amp; General Counsel</officerTitle>
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    <footnotes>
        <footnote id="F1">In connection with that certain Agreement and Plan of Merger by and among Houghton Mifflin Harcourt Company (the &quot;Company&quot;), Harbor Purchaser Inc., and Harbor Holding Corp., dated as of February 21, 2022 (the &quot;Merger Agreement&quot;) and the related tender offer, the Reporting Person became entitled to receive, in respect of each share of the Company's common stock, an amount in cash equal to $21.00.</footnote>
        <footnote id="F2">Each restricted stock unit (&quot;RSU&quot;) represented the economic equivalent of one share of the Company's common stock.</footnote>
        <footnote id="F3">Pursuant to the terms of the Merger Agreement, immediately prior to the Acceptance Time (as defined in the Merger Agreement), each RSU that was outstanding and unvested vested in full and was cancelled, and the Reporting Person became entitled to receive, in respect of each share of common stock subject to such RSU, an amount (subject to any applicable withholding tax) in cash equal to $21.00.</footnote>
        <footnote id="F4">Each performance-based restricted stock unit (&quot;PSU&quot;) represented the economic equivalent of one share of the Company's common stock.  The PSUs were eligible to vest based on the achievement, during the applicable performance period, of applicable performance metrics, including cumulative billings and relative total shareholder return.</footnote>
        <footnote id="F5">Pursuant to the terms of the Merger Agreement, immediately prior to the Acceptance Time (as defined in the Merger Agreement), each PSU that was outstanding and unvested vested in full (based on target performance) and was cancelled, and the Reporting Person became entitled to receive, in respect of each share of common stock subject to such PSU, an amount (subject to any applicable withholding tax) in cash equal to $21.00.</footnote>
    </footnotes>

    <remarks>William F. Bayers is the Executive Vice President, Secretary and General Counsel of the Company.</remarks>

    <ownerSignature>
        <signatureName>s/ William F. Bayers</signatureName>
        <signatureDate>2022-04-11</signatureDate>
    </ownerSignature>
</ownershipDocument>
