What is the Least Common Multiple of 2852 and 2866?

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 2852 and 2866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2852 and 2866, than apply into the LCM equation.

GCF(2852,2866) = 2
LCM(2852,2866) = ( 2852 × 2866) / 2
LCM(2852,2866) = 8173832 / 2
LCM(2852,2866) = 4086916

Least Common Multiple (LCM) of 2852 and 2866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2852 and 2866. First we will calculate the prime factors of 2852 and 2866.

Prime Factorization of 2852

Prime Factorization of 2866

Now multiplying the highest exponent prime factors to calculate the LCM of 2852 and 2866.

LCM(2852,2866) = 2² × 23¹ × 31¹ × 1433¹
LCM(2852,2866) = 4086916