<s>
The	O
Carmichael	B-Algorithm
function	I-Algorithm
is	O
named	O
after	O
the	O
American	O
mathematician	O
Robert	O
Carmichael	O
who	O
defined	O
it	O
in	O
1910	O
.	O
</s>
<s>
It	O
is	O
also	O
known	O
as	O
Carmichael	O
's	O
λ	O
function	O
,	O
the	O
reduced	B-Algorithm
totient	I-Algorithm
function	I-Algorithm
,	O
and	O
the	O
least	B-Algorithm
universal	I-Algorithm
exponent	I-Algorithm
function	I-Algorithm
.	O
</s>
<s>
This	O
is	O
an	O
immediate	O
consequence	O
of	O
the	O
recursive	O
definition	O
of	O
the	O
Carmichael	B-Algorithm
function	I-Algorithm
.	O
</s>
<s>
The	O
Carmichael	B-Algorithm
function	I-Algorithm
is	O
important	O
in	O
cryptography	O
due	O
to	O
its	O
use	O
in	O
the	O
RSA	B-Architecture
encryption	I-Architecture
algorithm	I-Architecture
.	O
</s>
