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What is the Least Common Multiple of 55876 and 55894?

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 55876 and 55894 is 1561566572.

LCM(55876,55894) = 1561566572

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Least Common Multiple of 55876 and 55894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55876 and 55894, than apply into the LCM equation.

GCF(55876,55894) = 2
LCM(55876,55894) = ( 55876 × 55894) / 2
LCM(55876,55894) = 3123133144 / 2
LCM(55876,55894) = 1561566572

Least Common Multiple (LCM) of 55876 and 55894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55876 and 55894. First we will calculate the prime factors of 55876 and 55894.

Prime Factorization of 55876

Prime factors of 55876 are 2, 61, 229. Prime factorization of 55876 in exponential form is:

55876 = 22 × 611 × 2291

Prime Factorization of 55894

Prime factors of 55894 are 2, 27947. Prime factorization of 55894 in exponential form is:

55894 = 21 × 279471

Now multiplying the highest exponent prime factors to calculate the LCM of 55876 and 55894.

LCM(55876,55894) = 22 × 611 × 2291 × 279471
LCM(55876,55894) = 1561566572