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What is the Least Common Multiple of 48557 and 48571?

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 48557 and 48571 is 2358462047.

LCM(48557,48571) = 2358462047

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Least Common Multiple of 48557 and 48571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48557 and 48571, than apply into the LCM equation.

GCF(48557,48571) = 1
LCM(48557,48571) = ( 48557 × 48571) / 1
LCM(48557,48571) = 2358462047 / 1
LCM(48557,48571) = 2358462047

Least Common Multiple (LCM) of 48557 and 48571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48557 and 48571. First we will calculate the prime factors of 48557 and 48571.

Prime Factorization of 48557

Prime factors of 48557 are 59, 823. Prime factorization of 48557 in exponential form is:

48557 = 591 × 8231

Prime Factorization of 48571

Prime factors of 48571 are 48571. Prime factorization of 48571 in exponential form is:

48571 = 485711

Now multiplying the highest exponent prime factors to calculate the LCM of 48557 and 48571.

LCM(48557,48571) = 591 × 8231 × 485711
LCM(48557,48571) = 2358462047