What is the Least Common Multiple of 55871 and 55885?
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 55871 and 55885 is 3122350835.
LCM(55871,55885) = 3122350835
Least Common Multiple of 55871 and 55885 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55871 and 55885, than apply into the LCM equation.
GCF(55871,55885) = 1
LCM(55871,55885) = ( 55871 × 55885) / 1
LCM(55871,55885) = 3122350835 / 1
LCM(55871,55885) = 3122350835
Least Common Multiple (LCM) of 55871 and 55885 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55871 and 55885. First we will calculate the prime factors of 55871 and 55885.
Prime Factorization of 55871
Prime factors of 55871 are 55871. Prime factorization of 55871 in exponential form is:
55871 = 558711
Prime Factorization of 55885
Prime factors of 55885 are 5, 11177. Prime factorization of 55885 in exponential form is:
55885 = 51 × 111771
Now multiplying the highest exponent prime factors to calculate the LCM of 55871 and 55885.
LCM(55871,55885) = 558711 × 51 × 111771
LCM(55871,55885) = 3122350835
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