What is the Least Common Multiple of 12852 and 12869?

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 12869 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 12869, than apply into the LCM equation.

GCF(12852,12869) = 17
LCM(12852,12869) = ( 12852 × 12869) / 17
LCM(12852,12869) = 165392388 / 17
LCM(12852,12869) = 9728964

Least Common Multiple (LCM) of 12852 and 12869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12852 and 12869. First we will calculate the prime factors of 12852 and 12869.

Prime Factorization of 12852

Prime Factorization of 12869

Now multiplying the highest exponent prime factors to calculate the LCM of 12852 and 12869.

LCM(12852,12869) = 2² × 3³ × 7¹ × 17¹ × 757¹
LCM(12852,12869) = 9728964