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What is the Least Common Multiple of 56377 and 56389?

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 56377 and 56389 is 3179042653.

LCM(56377,56389) = 3179042653

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Least Common Multiple of 56377 and 56389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56377 and 56389, than apply into the LCM equation.

GCF(56377,56389) = 1
LCM(56377,56389) = ( 56377 × 56389) / 1
LCM(56377,56389) = 3179042653 / 1
LCM(56377,56389) = 3179042653

Least Common Multiple (LCM) of 56377 and 56389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56377 and 56389. First we will calculate the prime factors of 56377 and 56389.

Prime Factorization of 56377

Prime factors of 56377 are 56377. Prime factorization of 56377 in exponential form is:

56377 = 563771

Prime Factorization of 56389

Prime factors of 56389 are 17, 31, 107. Prime factorization of 56389 in exponential form is:

56389 = 171 × 311 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 56377 and 56389.

LCM(56377,56389) = 563771 × 171 × 311 × 1071
LCM(56377,56389) = 3179042653