What is the Least Common Multiple of 55865 and 55871?
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 55865 and 55871 is 3121233415.
LCM(55865,55871) = 3121233415
Least Common Multiple of 55865 and 55871 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55865 and 55871, than apply into the LCM equation.
GCF(55865,55871) = 1
LCM(55865,55871) = ( 55865 × 55871) / 1
LCM(55865,55871) = 3121233415 / 1
LCM(55865,55871) = 3121233415
Least Common Multiple (LCM) of 55865 and 55871 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55865 and 55871. First we will calculate the prime factors of 55865 and 55871.
Prime Factorization of 55865
Prime factors of 55865 are 5, 11173. Prime factorization of 55865 in exponential form is:
55865 = 51 × 111731
Prime Factorization of 55871
Prime factors of 55871 are 55871. Prime factorization of 55871 in exponential form is:
55871 = 558711
Now multiplying the highest exponent prime factors to calculate the LCM of 55865 and 55871.
LCM(55865,55871) = 51 × 111731 × 558711
LCM(55865,55871) = 3121233415
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