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What is the Least Common Multiple of 2785 and 2789?

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 2785 and 2789 is 7767365.

LCM(2785,2789) = 7767365

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Least Common Multiple of 2785 and 2789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2785 and 2789, than apply into the LCM equation.

GCF(2785,2789) = 1
LCM(2785,2789) = ( 2785 × 2789) / 1
LCM(2785,2789) = 7767365 / 1
LCM(2785,2789) = 7767365

Least Common Multiple (LCM) of 2785 and 2789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2785 and 2789. First we will calculate the prime factors of 2785 and 2789.

Prime Factorization of 2785

Prime factors of 2785 are 5, 557. Prime factorization of 2785 in exponential form is:

2785 = 51 × 5571

Prime Factorization of 2789

Prime factors of 2789 are 2789. Prime factorization of 2789 in exponential form is:

2789 = 27891

Now multiplying the highest exponent prime factors to calculate the LCM of 2785 and 2789.

LCM(2785,2789) = 51 × 5571 × 27891
LCM(2785,2789) = 7767365