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What is the Least Common Multiple of 55855 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 55855 and 55871 is 3120674705.

LCM(55855,55871) = 3120674705

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Least Common Multiple of 55855 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 55855 and 55871, than apply into the LCM equation.

GCF(55855,55871) = 1
LCM(55855,55871) = ( 55855 × 55871) / 1
LCM(55855,55871) = 3120674705 / 1
LCM(55855,55871) = 3120674705

Least Common Multiple (LCM) of 55855 and 55871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55855 and 55871. First we will calculate the prime factors of 55855 and 55871.

Prime Factorization of 55855

Prime factors of 55855 are 5, 11171. Prime factorization of 55855 in exponential form is:

55855 = 51 × 111711

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 55855 and 55871.

LCM(55855,55871) = 51 × 111711 × 558711
LCM(55855,55871) = 3120674705