What is the Least Common Multiple of 44876 and 44892?

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 44876 and 44892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44876 and 44892, than apply into the LCM equation.

GCF(44876,44892) = 4
LCM(44876,44892) = ( 44876 × 44892) / 4
LCM(44876,44892) = 2014573392 / 4
LCM(44876,44892) = 503643348

Least Common Multiple (LCM) of 44876 and 44892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44876 and 44892. First we will calculate the prime factors of 44876 and 44892.

Prime Factorization of 44876

Prime Factorization of 44892

Now multiplying the highest exponent prime factors to calculate the LCM of 44876 and 44892.

LCM(44876,44892) = 2² × 13¹ × 863¹ × 3² × 29¹ × 43¹
LCM(44876,44892) = 503643348