What is the Least Common Multiple of 21876 and 21883?

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 21883 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 21883, than apply into the LCM equation.

GCF(21876,21883) = 1
LCM(21876,21883) = ( 21876 × 21883) / 1
LCM(21876,21883) = 478712508 / 1
LCM(21876,21883) = 478712508

Least Common Multiple (LCM) of 21876 and 21883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21876 and 21883. First we will calculate the prime factors of 21876 and 21883.

Prime Factorization of 21876

Prime Factorization of 21883

Now multiplying the highest exponent prime factors to calculate the LCM of 21876 and 21883.

LCM(21876,21883) = 2² × 3¹ × 1823¹ × 79¹ × 277¹
LCM(21876,21883) = 478712508