What is the Least Common Multiple of 44856 and 44871?

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 44856 and 44871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44856 and 44871, than apply into the LCM equation.

GCF(44856,44871) = 3
LCM(44856,44871) = ( 44856 × 44871) / 3
LCM(44856,44871) = 2012733576 / 3
LCM(44856,44871) = 670911192

Least Common Multiple (LCM) of 44856 and 44871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44856 and 44871. First we will calculate the prime factors of 44856 and 44871.

Prime Factorization of 44856

Prime Factorization of 44871

Now multiplying the highest exponent prime factors to calculate the LCM of 44856 and 44871.

LCM(44856,44871) = 2³ × 3² × 7¹ × 89¹ × 14957¹
LCM(44856,44871) = 670911192