What is the Least Common Multiple of 82503 and 82511?

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 82503 and 82511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82503 and 82511, than apply into the LCM equation.

GCF(82503,82511) = 1
LCM(82503,82511) = ( 82503 × 82511) / 1
LCM(82503,82511) = 6807405033 / 1
LCM(82503,82511) = 6807405033

Least Common Multiple (LCM) of 82503 and 82511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82503 and 82511. First we will calculate the prime factors of 82503 and 82511.

Prime Factorization of 82503

Prime Factorization of 82511

Now multiplying the highest exponent prime factors to calculate the LCM of 82503 and 82511.

LCM(82503,82511) = 3² × 89¹ × 103¹ × 11¹ × 13¹ × 577¹
LCM(82503,82511) = 6807405033