What is the Least Common Multiple of 21876 and 21891?

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 21876 and 21891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21876 and 21891, than apply into the LCM equation.

GCF(21876,21891) = 3
LCM(21876,21891) = ( 21876 × 21891) / 3
LCM(21876,21891) = 478887516 / 3
LCM(21876,21891) = 159629172

Least Common Multiple (LCM) of 21876 and 21891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21876 and 21891. First we will calculate the prime factors of 21876 and 21891.

Prime Factorization of 21876

Prime Factorization of 21891

Now multiplying the highest exponent prime factors to calculate the LCM of 21876 and 21891.

LCM(21876,21891) = 2² × 3¹ × 1823¹ × 7297¹
LCM(21876,21891) = 159629172