What is the Least Common Multiple of 82503 and 82512?

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 82512 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 82512, than apply into the LCM equation.

GCF(82503,82512) = 9
LCM(82503,82512) = ( 82503 × 82512) / 9
LCM(82503,82512) = 6807487536 / 9
LCM(82503,82512) = 756387504

Least Common Multiple (LCM) of 82503 and 82512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82503 and 82512. First we will calculate the prime factors of 82503 and 82512.

Prime Factorization of 82503

Prime Factorization of 82512

Now multiplying the highest exponent prime factors to calculate the LCM of 82503 and 82512.

LCM(82503,82512) = 3³ × 89¹ × 103¹ × 2⁴ × 191¹
LCM(82503,82512) = 756387504