What is the Least Common Multiple of 14866 and 14882?

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 14866 and 14882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14866 and 14882, than apply into the LCM equation.

GCF(14866,14882) = 2
LCM(14866,14882) = ( 14866 × 14882) / 2
LCM(14866,14882) = 221235812 / 2
LCM(14866,14882) = 110617906

Least Common Multiple (LCM) of 14866 and 14882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14866 and 14882. First we will calculate the prime factors of 14866 and 14882.

Prime Factorization of 14866

Prime Factorization of 14882

Now multiplying the highest exponent prime factors to calculate the LCM of 14866 and 14882.

LCM(14866,14882) = 2¹ × 7433¹ × 7¹ × 1063¹
LCM(14866,14882) = 110617906