What is the Least Common Multiple of 45876 and 45889?

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 45876 and 45889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45876 and 45889, than apply into the LCM equation.

GCF(45876,45889) = 1
LCM(45876,45889) = ( 45876 × 45889) / 1
LCM(45876,45889) = 2105203764 / 1
LCM(45876,45889) = 2105203764

Least Common Multiple (LCM) of 45876 and 45889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45876 and 45889. First we will calculate the prime factors of 45876 and 45889.

Prime Factorization of 45876

Prime Factorization of 45889

Now multiplying the highest exponent prime factors to calculate the LCM of 45876 and 45889.

LCM(45876,45889) = 2² × 3¹ × 3823¹ × 109¹ × 421¹
LCM(45876,45889) = 2105203764