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What is the Least Common Multiple of 55828 and 55846?

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 55828 and 55846 is 1558885244.

LCM(55828,55846) = 1558885244

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Least Common Multiple of 55828 and 55846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55828 and 55846, than apply into the LCM equation.

GCF(55828,55846) = 2
LCM(55828,55846) = ( 55828 × 55846) / 2
LCM(55828,55846) = 3117770488 / 2
LCM(55828,55846) = 1558885244

Least Common Multiple (LCM) of 55828 and 55846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55828 and 55846. First we will calculate the prime factors of 55828 and 55846.

Prime Factorization of 55828

Prime factors of 55828 are 2, 17, 821. Prime factorization of 55828 in exponential form is:

55828 = 22 × 171 × 8211

Prime Factorization of 55846

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

55846 = 21 × 71 × 39891

Now multiplying the highest exponent prime factors to calculate the LCM of 55828 and 55846.

LCM(55828,55846) = 22 × 171 × 8211 × 71 × 39891
LCM(55828,55846) = 1558885244