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What is the Least Common Multiple of 55889 and 55906?

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 55889 and 55906 is 3124530434.

LCM(55889,55906) = 3124530434

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Least Common Multiple of 55889 and 55906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55889 and 55906, than apply into the LCM equation.

GCF(55889,55906) = 1
LCM(55889,55906) = ( 55889 × 55906) / 1
LCM(55889,55906) = 3124530434 / 1
LCM(55889,55906) = 3124530434

Least Common Multiple (LCM) of 55889 and 55906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55889 and 55906. First we will calculate the prime factors of 55889 and 55906.

Prime Factorization of 55889

Prime factors of 55889 are 55889. Prime factorization of 55889 in exponential form is:

55889 = 558891

Prime Factorization of 55906

Prime factors of 55906 are 2, 27953. Prime factorization of 55906 in exponential form is:

55906 = 21 × 279531

Now multiplying the highest exponent prime factors to calculate the LCM of 55889 and 55906.

LCM(55889,55906) = 558891 × 21 × 279531
LCM(55889,55906) = 3124530434