What is the Least Common Multiple of 44871 and 44889?

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 44871 and 44889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44871 and 44889, than apply into the LCM equation.

GCF(44871,44889) = 3
LCM(44871,44889) = ( 44871 × 44889) / 3
LCM(44871,44889) = 2014214319 / 3
LCM(44871,44889) = 671404773

Least Common Multiple (LCM) of 44871 and 44889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44871 and 44889. First we will calculate the prime factors of 44871 and 44889.

Prime Factorization of 44871

Prime Factorization of 44889

Now multiplying the highest exponent prime factors to calculate the LCM of 44871 and 44889.

LCM(44871,44889) = 3¹ × 14957¹ × 13¹ × 1151¹
LCM(44871,44889) = 671404773