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What is the Least Common Multiple of 56384 and 56397?

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 56384 and 56397 is 3179888448.

LCM(56384,56397) = 3179888448

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Least Common Multiple of 56384 and 56397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56384 and 56397, than apply into the LCM equation.

GCF(56384,56397) = 1
LCM(56384,56397) = ( 56384 × 56397) / 1
LCM(56384,56397) = 3179888448 / 1
LCM(56384,56397) = 3179888448

Least Common Multiple (LCM) of 56384 and 56397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56384 and 56397. First we will calculate the prime factors of 56384 and 56397.

Prime Factorization of 56384

Prime factors of 56384 are 2, 881. Prime factorization of 56384 in exponential form is:

56384 = 26 × 8811

Prime Factorization of 56397

Prime factors of 56397 are 3, 11, 1709. Prime factorization of 56397 in exponential form is:

56397 = 31 × 111 × 17091

Now multiplying the highest exponent prime factors to calculate the LCM of 56384 and 56397.

LCM(56384,56397) = 26 × 8811 × 31 × 111 × 17091
LCM(56384,56397) = 3179888448