What is the Least Common Multiple of 54876 and 54892?

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 54876 and 54892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54876 and 54892, than apply into the LCM equation.

GCF(54876,54892) = 4
LCM(54876,54892) = ( 54876 × 54892) / 4
LCM(54876,54892) = 3012253392 / 4
LCM(54876,54892) = 753063348

Least Common Multiple (LCM) of 54876 and 54892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54876 and 54892. First we will calculate the prime factors of 54876 and 54892.

Prime Factorization of 54876

Prime Factorization of 54892

Now multiplying the highest exponent prime factors to calculate the LCM of 54876 and 54892.

LCM(54876,54892) = 2² × 3¹ × 17¹ × 269¹ × 13723¹
LCM(54876,54892) = 753063348