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What is the Least Common Multiple of 55846 and 55858?

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 55846 and 55858 is 1559722934.

LCM(55846,55858) = 1559722934

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Least Common Multiple of 55846 and 55858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55846 and 55858, than apply into the LCM equation.

GCF(55846,55858) = 2
LCM(55846,55858) = ( 55846 × 55858) / 2
LCM(55846,55858) = 3119445868 / 2
LCM(55846,55858) = 1559722934

Least Common Multiple (LCM) of 55846 and 55858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55846 and 55858. First we will calculate the prime factors of 55846 and 55858.

Prime Factorization of 55846

Prime factors of 55846 are 2, 7, 3989. Prime factorization of 55846 in exponential form is:

55846 = 21 × 71 × 39891

Prime Factorization of 55858

Prime factors of 55858 are 2, 11, 2539. Prime factorization of 55858 in exponential form is:

55858 = 21 × 111 × 25391

Now multiplying the highest exponent prime factors to calculate the LCM of 55846 and 55858.

LCM(55846,55858) = 21 × 71 × 39891 × 111 × 25391
LCM(55846,55858) = 1559722934