What is the Least Common Multiple of 11665 and 11671?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 11665 and 11671 is 136142215.
LCM(11665,11671) = 136142215
Least Common Multiple of 11665 and 11671 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11665 and 11671, than apply into the LCM equation.
GCF(11665,11671) = 1
LCM(11665,11671) = ( 11665 × 11671) / 1
LCM(11665,11671) = 136142215 / 1
LCM(11665,11671) = 136142215
Least Common Multiple (LCM) of 11665 and 11671 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11665 and 11671. First we will calculate the prime factors of 11665 and 11671.
Prime Factorization of 11665
Prime factors of 11665 are 5, 2333. Prime factorization of 11665 in exponential form is:
11665 = 51 × 23331
Prime Factorization of 11671
Prime factors of 11671 are 11, 1061. Prime factorization of 11671 in exponential form is:
11671 = 111 × 10611
Now multiplying the highest exponent prime factors to calculate the LCM of 11665 and 11671.
LCM(11665,11671) = 51 × 23331 × 111 × 10611
LCM(11665,11671) = 136142215
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