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What is the Least Common Multiple of 2803 and 2813?

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 2803 and 2813 is 7884839.

LCM(2803,2813) = 7884839

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Least Common Multiple of 2803 and 2813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2803 and 2813, than apply into the LCM equation.

GCF(2803,2813) = 1
LCM(2803,2813) = ( 2803 × 2813) / 1
LCM(2803,2813) = 7884839 / 1
LCM(2803,2813) = 7884839

Least Common Multiple (LCM) of 2803 and 2813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2803 and 2813. First we will calculate the prime factors of 2803 and 2813.

Prime Factorization of 2803

Prime factors of 2803 are 2803. Prime factorization of 2803 in exponential form is:

2803 = 28031

Prime Factorization of 2813

Prime factors of 2813 are 29, 97. Prime factorization of 2813 in exponential form is:

2813 = 291 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 2803 and 2813.

LCM(2803,2813) = 28031 × 291 × 971
LCM(2803,2813) = 7884839