What is the Least Common Multiple of 47484 and 47503?

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 47484 and 47503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47484 and 47503, than apply into the LCM equation.

GCF(47484,47503) = 1
LCM(47484,47503) = ( 47484 × 47503) / 1
LCM(47484,47503) = 2255632452 / 1
LCM(47484,47503) = 2255632452

Least Common Multiple (LCM) of 47484 and 47503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47484 and 47503. First we will calculate the prime factors of 47484 and 47503.

Prime Factorization of 47484

Prime Factorization of 47503

Now multiplying the highest exponent prime factors to calculate the LCM of 47484 and 47503.

LCM(47484,47503) = 2² × 3² × 1319¹ × 67¹ × 709¹
LCM(47484,47503) = 2255632452