What is the Least Common Multiple of 52503 and 52512?

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 52503 and 52512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52503 and 52512, than apply into the LCM equation.

GCF(52503,52512) = 3
LCM(52503,52512) = ( 52503 × 52512) / 3
LCM(52503,52512) = 2757037536 / 3
LCM(52503,52512) = 919012512

Least Common Multiple (LCM) of 52503 and 52512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52503 and 52512. First we will calculate the prime factors of 52503 and 52512.

Prime Factorization of 52503

Prime Factorization of 52512

Now multiplying the highest exponent prime factors to calculate the LCM of 52503 and 52512.

LCM(52503,52512) = 3¹ × 11¹ × 37¹ × 43¹ × 2⁵ × 547¹
LCM(52503,52512) = 919012512