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What is the Least Common Multiple of 55859 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 55859 and 55871 is 3120898189.

LCM(55859,55871) = 3120898189

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Least Common Multiple of 55859 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 55859 and 55871, than apply into the LCM equation.

GCF(55859,55871) = 1
LCM(55859,55871) = ( 55859 × 55871) / 1
LCM(55859,55871) = 3120898189 / 1
LCM(55859,55871) = 3120898189

Least Common Multiple (LCM) of 55859 and 55871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55859 and 55871. First we will calculate the prime factors of 55859 and 55871.

Prime Factorization of 55859

Prime factors of 55859 are 83, 673. Prime factorization of 55859 in exponential form is:

55859 = 831 × 6731

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 55859 and 55871.

LCM(55859,55871) = 831 × 6731 × 558711
LCM(55859,55871) = 3120898189