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What is the Least Common Multiple of 55838 and 55856?

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 55838 and 55856 is 1559443664.

LCM(55838,55856) = 1559443664

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Least Common Multiple of 55838 and 55856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55838 and 55856, than apply into the LCM equation.

GCF(55838,55856) = 2
LCM(55838,55856) = ( 55838 × 55856) / 2
LCM(55838,55856) = 3118887328 / 2
LCM(55838,55856) = 1559443664

Least Common Multiple (LCM) of 55838 and 55856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55838 and 55856. First we will calculate the prime factors of 55838 and 55856.

Prime Factorization of 55838

Prime factors of 55838 are 2, 27919. Prime factorization of 55838 in exponential form is:

55838 = 21 × 279191

Prime Factorization of 55856

Prime factors of 55856 are 2, 3491. Prime factorization of 55856 in exponential form is:

55856 = 24 × 34911

Now multiplying the highest exponent prime factors to calculate the LCM of 55838 and 55856.

LCM(55838,55856) = 24 × 279191 × 34911
LCM(55838,55856) = 1559443664