What is the Least Common Multiple of 51876 and 51891?

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 51876 and 51891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51876 and 51891, than apply into the LCM equation.

GCF(51876,51891) = 3
LCM(51876,51891) = ( 51876 × 51891) / 3
LCM(51876,51891) = 2691897516 / 3
LCM(51876,51891) = 897299172

Least Common Multiple (LCM) of 51876 and 51891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51876 and 51891. First we will calculate the prime factors of 51876 and 51891.

Prime Factorization of 51876

Prime Factorization of 51891

Now multiplying the highest exponent prime factors to calculate the LCM of 51876 and 51891.

LCM(51876,51891) = 2² × 3² × 11¹ × 131¹ × 7² × 353¹
LCM(51876,51891) = 897299172