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What is the Least Common Multiple of 56873 and 56877?

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 56873 and 56877 is 3234765621.

LCM(56873,56877) = 3234765621

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Least Common Multiple of 56873 and 56877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56873 and 56877, than apply into the LCM equation.

GCF(56873,56877) = 1
LCM(56873,56877) = ( 56873 × 56877) / 1
LCM(56873,56877) = 3234765621 / 1
LCM(56873,56877) = 3234765621

Least Common Multiple (LCM) of 56873 and 56877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56873 and 56877. First we will calculate the prime factors of 56873 and 56877.

Prime Factorization of 56873

Prime factors of 56873 are 56873. Prime factorization of 56873 in exponential form is:

56873 = 568731

Prime Factorization of 56877

Prime factors of 56877 are 3, 18959. Prime factorization of 56877 in exponential form is:

56877 = 31 × 189591

Now multiplying the highest exponent prime factors to calculate the LCM of 56873 and 56877.

LCM(56873,56877) = 568731 × 31 × 189591
LCM(56873,56877) = 3234765621