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What is the Least Common Multiple of 48845 and 48858?

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 48845 and 48858 is 2386469010.

LCM(48845,48858) = 2386469010

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Least Common Multiple of 48845 and 48858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48845 and 48858, than apply into the LCM equation.

GCF(48845,48858) = 1
LCM(48845,48858) = ( 48845 × 48858) / 1
LCM(48845,48858) = 2386469010 / 1
LCM(48845,48858) = 2386469010

Least Common Multiple (LCM) of 48845 and 48858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48845 and 48858. First we will calculate the prime factors of 48845 and 48858.

Prime Factorization of 48845

Prime factors of 48845 are 5, 9769. Prime factorization of 48845 in exponential form is:

48845 = 51 × 97691

Prime Factorization of 48858

Prime factors of 48858 are 2, 3, 17, 479. Prime factorization of 48858 in exponential form is:

48858 = 21 × 31 × 171 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 48845 and 48858.

LCM(48845,48858) = 51 × 97691 × 21 × 31 × 171 × 4791
LCM(48845,48858) = 2386469010