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What is the Least Common Multiple of 2713 and 2723?

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 2713 and 2723 is 7387499.

LCM(2713,2723) = 7387499

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Least Common Multiple of 2713 and 2723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2713 and 2723, than apply into the LCM equation.

GCF(2713,2723) = 1
LCM(2713,2723) = ( 2713 × 2723) / 1
LCM(2713,2723) = 7387499 / 1
LCM(2713,2723) = 7387499

Least Common Multiple (LCM) of 2713 and 2723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2713 and 2723. First we will calculate the prime factors of 2713 and 2723.

Prime Factorization of 2713

Prime factors of 2713 are 2713. Prime factorization of 2713 in exponential form is:

2713 = 27131

Prime Factorization of 2723

Prime factors of 2723 are 7, 389. Prime factorization of 2723 in exponential form is:

2723 = 71 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 2713 and 2723.

LCM(2713,2723) = 27131 × 71 × 3891
LCM(2713,2723) = 7387499