What is the Least Common Multiple of 50054 and 50072?

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 50054 and 50072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50054 and 50072, than apply into the LCM equation.

GCF(50054,50072) = 2
LCM(50054,50072) = ( 50054 × 50072) / 2
LCM(50054,50072) = 2506303888 / 2
LCM(50054,50072) = 1253151944

Least Common Multiple (LCM) of 50054 and 50072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50054 and 50072. First we will calculate the prime factors of 50054 and 50072.

Prime Factorization of 50054

Prime Factorization of 50072

Now multiplying the highest exponent prime factors to calculate the LCM of 50054 and 50072.

LCM(50054,50072) = 2³ × 29¹ × 863¹ × 11¹ × 569¹
LCM(50054,50072) = 1253151944