What is the Least Common Multiple of 82709 and 82723?

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 82709 and 82723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82709 and 82723, than apply into the LCM equation.

GCF(82709,82723) = 1
LCM(82709,82723) = ( 82709 × 82723) / 1
LCM(82709,82723) = 6841936607 / 1
LCM(82709,82723) = 6841936607

Least Common Multiple (LCM) of 82709 and 82723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82709 and 82723. First we will calculate the prime factors of 82709 and 82723.

Prime Factorization of 82709

Prime Factorization of 82723

Now multiplying the highest exponent prime factors to calculate the LCM of 82709 and 82723.

LCM(82709,82723) = 11¹ × 73¹ × 103¹ × 82723¹
LCM(82709,82723) = 6841936607