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What is the Least Common Multiple of 54368 and 54386?

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 54368 and 54386 is 1478429024.

LCM(54368,54386) = 1478429024

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Least Common Multiple of 54368 and 54386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54368 and 54386, than apply into the LCM equation.

GCF(54368,54386) = 2
LCM(54368,54386) = ( 54368 × 54386) / 2
LCM(54368,54386) = 2956858048 / 2
LCM(54368,54386) = 1478429024

Least Common Multiple (LCM) of 54368 and 54386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54368 and 54386. First we will calculate the prime factors of 54368 and 54386.

Prime Factorization of 54368

Prime factors of 54368 are 2, 1699. Prime factorization of 54368 in exponential form is:

54368 = 25 × 16991

Prime Factorization of 54386

Prime factors of 54386 are 2, 71, 383. Prime factorization of 54386 in exponential form is:

54386 = 21 × 711 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 54368 and 54386.

LCM(54368,54386) = 25 × 16991 × 711 × 3831
LCM(54368,54386) = 1478429024