What is the Least Common Multiple of 2709 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 of 2709 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 2709 and 2723, than apply into the LCM equation.

GCF(2709,2723) = 7
LCM(2709,2723) = ( 2709 × 2723) / 7
LCM(2709,2723) = 7376607 / 7
LCM(2709,2723) = 1053801

Least Common Multiple (LCM) of 2709 and 2723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2709 and 2723. First we will calculate the prime factors of 2709 and 2723.

Prime Factorization of 2709

Prime Factorization of 2723

Now multiplying the highest exponent prime factors to calculate the LCM of 2709 and 2723.

LCM(2709,2723) = 3² × 7¹ × 43¹ × 389¹
LCM(2709,2723) = 1053801