What is the Least Common Multiple of 21837 and 21857?

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 21837 and 21857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21837 and 21857, than apply into the LCM equation.

GCF(21837,21857) = 1
LCM(21837,21857) = ( 21837 × 21857) / 1
LCM(21837,21857) = 477291309 / 1
LCM(21837,21857) = 477291309

Least Common Multiple (LCM) of 21837 and 21857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21837 and 21857. First we will calculate the prime factors of 21837 and 21857.

Prime Factorization of 21837

Prime Factorization of 21857

Now multiplying the highest exponent prime factors to calculate the LCM of 21837 and 21857.

LCM(21837,21857) = 3¹ × 29¹ × 251¹ × 11¹ × 1987¹
LCM(21837,21857) = 477291309