What is the meaning of Lagrange Multiplier in this formula?

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Consider $$F = L'VL + (L' X − K' )\Phi$$

$L$, $V$ and $K$ are matrices. $F$: function notation

$\Phi$: Lagrange Multiplier, imposes the restriction $L' X = K'$

What does Lagrange Multiplier mean in this formula?

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