What is the Least Common Multiple of 12852 and 12858?

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 12852 and 12858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12852 and 12858, than apply into the LCM equation.

GCF(12852,12858) = 6
LCM(12852,12858) = ( 12852 × 12858) / 6
LCM(12852,12858) = 165251016 / 6
LCM(12852,12858) = 27541836

Least Common Multiple (LCM) of 12852 and 12858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12852 and 12858. First we will calculate the prime factors of 12852 and 12858.

Prime Factorization of 12852

Prime Factorization of 12858

Now multiplying the highest exponent prime factors to calculate the LCM of 12852 and 12858.

LCM(12852,12858) = 2² × 3³ × 7¹ × 17¹ × 2143¹
LCM(12852,12858) = 27541836