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What is the Least Common Multiple of 55887 and 55904?

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 55887 and 55904 is 3124306848.

LCM(55887,55904) = 3124306848

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Least Common Multiple of 55887 and 55904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55887 and 55904, than apply into the LCM equation.

GCF(55887,55904) = 1
LCM(55887,55904) = ( 55887 × 55904) / 1
LCM(55887,55904) = 3124306848 / 1
LCM(55887,55904) = 3124306848

Least Common Multiple (LCM) of 55887 and 55904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55887 and 55904. First we will calculate the prime factors of 55887 and 55904.

Prime Factorization of 55887

Prime factors of 55887 are 3, 13, 1433. Prime factorization of 55887 in exponential form is:

55887 = 31 × 131 × 14331

Prime Factorization of 55904

Prime factors of 55904 are 2, 1747. Prime factorization of 55904 in exponential form is:

55904 = 25 × 17471

Now multiplying the highest exponent prime factors to calculate the LCM of 55887 and 55904.

LCM(55887,55904) = 31 × 131 × 14331 × 25 × 17471
LCM(55887,55904) = 3124306848