What is the Least Common Multiple of 50469 and 50484?

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 50469 and 50484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50469 and 50484, than apply into the LCM equation.

GCF(50469,50484) = 3
LCM(50469,50484) = ( 50469 × 50484) / 3
LCM(50469,50484) = 2547876996 / 3
LCM(50469,50484) = 849292332

Least Common Multiple (LCM) of 50469 and 50484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50469 and 50484. First we will calculate the prime factors of 50469 and 50484.

Prime Factorization of 50469

Prime Factorization of 50484

Now multiplying the highest exponent prime factors to calculate the LCM of 50469 and 50484.

LCM(50469,50484) = 3¹ × 16823¹ × 2² × 7¹ × 601¹
LCM(50469,50484) = 849292332