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What is the Least Common Multiple of 2857 and 2877?

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 2857 and 2877 is 8219589.

LCM(2857,2877) = 8219589

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Least Common Multiple of 2857 and 2877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2857 and 2877, than apply into the LCM equation.

GCF(2857,2877) = 1
LCM(2857,2877) = ( 2857 × 2877) / 1
LCM(2857,2877) = 8219589 / 1
LCM(2857,2877) = 8219589

Least Common Multiple (LCM) of 2857 and 2877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2857 and 2877. First we will calculate the prime factors of 2857 and 2877.

Prime Factorization of 2857

Prime factors of 2857 are 2857. Prime factorization of 2857 in exponential form is:

2857 = 28571

Prime Factorization of 2877

Prime factors of 2877 are 3, 7, 137. Prime factorization of 2877 in exponential form is:

2877 = 31 × 71 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 2857 and 2877.

LCM(2857,2877) = 28571 × 31 × 71 × 1371
LCM(2857,2877) = 8219589