What is the Least Common Multiple of 21876 and 21881?

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 21881 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 21881, than apply into the LCM equation.

GCF(21876,21881) = 1
LCM(21876,21881) = ( 21876 × 21881) / 1
LCM(21876,21881) = 478668756 / 1
LCM(21876,21881) = 478668756

Least Common Multiple (LCM) of 21876 and 21881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21876 and 21881. First we will calculate the prime factors of 21876 and 21881.

Prime Factorization of 21876

Prime Factorization of 21881

Now multiplying the highest exponent prime factors to calculate the LCM of 21876 and 21881.

LCM(21876,21881) = 2² × 3¹ × 1823¹ × 21881¹
LCM(21876,21881) = 478668756