What is the Least Common Multiple of 30852 and 30866?

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 30852 and 30866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30852 and 30866, than apply into the LCM equation.

GCF(30852,30866) = 2
LCM(30852,30866) = ( 30852 × 30866) / 2
LCM(30852,30866) = 952277832 / 2
LCM(30852,30866) = 476138916

Least Common Multiple (LCM) of 30852 and 30866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30852 and 30866. First we will calculate the prime factors of 30852 and 30866.

Prime Factorization of 30852

Prime Factorization of 30866

Now multiplying the highest exponent prime factors to calculate the LCM of 30852 and 30866.

LCM(30852,30866) = 2² × 3² × 857¹ × 11¹ × 23¹ × 61¹
LCM(30852,30866) = 476138916