What is the Least Common Multiple of 76857 and 76876?

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 76857 and 76876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76857 and 76876, than apply into the LCM equation.

GCF(76857,76876) = 1
LCM(76857,76876) = ( 76857 × 76876) / 1
LCM(76857,76876) = 5908458732 / 1
LCM(76857,76876) = 5908458732

Least Common Multiple (LCM) of 76857 and 76876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76857 and 76876. First we will calculate the prime factors of 76857 and 76876.

Prime Factorization of 76857

Prime Factorization of 76876

Now multiplying the highest exponent prime factors to calculate the LCM of 76857 and 76876.

LCM(76857,76876) = 3¹ × 11¹ × 17¹ × 137¹ × 2² × 19219¹
LCM(76857,76876) = 5908458732