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What is the Least Common Multiple of 48479 and 48491?

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 48479 and 48491 is 2350795189.

LCM(48479,48491) = 2350795189

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Least Common Multiple of 48479 and 48491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48479 and 48491, than apply into the LCM equation.

GCF(48479,48491) = 1
LCM(48479,48491) = ( 48479 × 48491) / 1
LCM(48479,48491) = 2350795189 / 1
LCM(48479,48491) = 2350795189

Least Common Multiple (LCM) of 48479 and 48491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48479 and 48491. First we will calculate the prime factors of 48479 and 48491.

Prime Factorization of 48479

Prime factors of 48479 are 48479. Prime factorization of 48479 in exponential form is:

48479 = 484791

Prime Factorization of 48491

Prime factors of 48491 are 48491. Prime factorization of 48491 in exponential form is:

48491 = 484911

Now multiplying the highest exponent prime factors to calculate the LCM of 48479 and 48491.

LCM(48479,48491) = 484791 × 484911
LCM(48479,48491) = 2350795189