What is the Least Common Multiple of 30876 and 30891?

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 30876 and 30891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30876 and 30891, than apply into the LCM equation.

GCF(30876,30891) = 3
LCM(30876,30891) = ( 30876 × 30891) / 3
LCM(30876,30891) = 953790516 / 3
LCM(30876,30891) = 317930172

Least Common Multiple (LCM) of 30876 and 30891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30876 and 30891. First we will calculate the prime factors of 30876 and 30891.

Prime Factorization of 30876

Prime Factorization of 30891

Now multiplying the highest exponent prime factors to calculate the LCM of 30876 and 30891.

LCM(30876,30891) = 2² × 3¹ × 31¹ × 83¹ × 7¹ × 1471¹
LCM(30876,30891) = 317930172