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What is the Least Common Multiple of 55854 and 55861?

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 55854 and 55861 is 3120060294.

LCM(55854,55861) = 3120060294

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Least Common Multiple of 55854 and 55861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55854 and 55861, than apply into the LCM equation.

GCF(55854,55861) = 1
LCM(55854,55861) = ( 55854 × 55861) / 1
LCM(55854,55861) = 3120060294 / 1
LCM(55854,55861) = 3120060294

Least Common Multiple (LCM) of 55854 and 55861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55854 and 55861. First we will calculate the prime factors of 55854 and 55861.

Prime Factorization of 55854

Prime factors of 55854 are 2, 3, 29, 107. Prime factorization of 55854 in exponential form is:

55854 = 21 × 32 × 291 × 1071

Prime Factorization of 55861

Prime factors of 55861 are 13, 4297. Prime factorization of 55861 in exponential form is:

55861 = 131 × 42971

Now multiplying the highest exponent prime factors to calculate the LCM of 55854 and 55861.

LCM(55854,55861) = 21 × 32 × 291 × 1071 × 131 × 42971
LCM(55854,55861) = 3120060294