What is the Least Common Multiple of 37876 and 37889?

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 37876 and 37889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37876 and 37889, than apply into the LCM equation.

GCF(37876,37889) = 1
LCM(37876,37889) = ( 37876 × 37889) / 1
LCM(37876,37889) = 1435083764 / 1
LCM(37876,37889) = 1435083764

Least Common Multiple (LCM) of 37876 and 37889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37876 and 37889. First we will calculate the prime factors of 37876 and 37889.

Prime Factorization of 37876

Prime Factorization of 37889

Now multiplying the highest exponent prime factors to calculate the LCM of 37876 and 37889.

LCM(37876,37889) = 2² × 17¹ × 557¹ × 37889¹
LCM(37876,37889) = 1435083764