| Summary: | The modified Totient function of Carmichael <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>λ</mi><mo>(</mo><mo>.</mo><mo>)</mo></mrow></semantics></math></inline-formula> is revisited, where important properties have been highlighted. Particularly, an iterative scheme is given for calculating the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>λ</mi><mo>(</mo><mo>.</mo><mo>)</mo></mrow></semantics></math></inline-formula> function. A comparison between the Euler <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>φ</mi></semantics></math></inline-formula> and the reduced totient <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>λ</mi><mo>(</mo><mo>.</mo><mo>)</mo></mrow></semantics></math></inline-formula> functions aiming to quantify the reduction between is given.
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