What is the Least Common Multiple of 21866 and 21879?

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 21866 and 21879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21866 and 21879, than apply into the LCM equation.

GCF(21866,21879) = 13
LCM(21866,21879) = ( 21866 × 21879) / 13
LCM(21866,21879) = 478406214 / 13
LCM(21866,21879) = 36800478

Least Common Multiple (LCM) of 21866 and 21879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21866 and 21879. First we will calculate the prime factors of 21866 and 21879.

Prime Factorization of 21866

Prime Factorization of 21879

Now multiplying the highest exponent prime factors to calculate the LCM of 21866 and 21879.

LCM(21866,21879) = 2¹ × 13¹ × 29² × 3² × 11¹ × 17¹
LCM(21866,21879) = 36800478