What is the Least Common Multiple of 18852 and 18867?

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 18852 and 18867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18852 and 18867, than apply into the LCM equation.

GCF(18852,18867) = 3
LCM(18852,18867) = ( 18852 × 18867) / 3
LCM(18852,18867) = 355680684 / 3
LCM(18852,18867) = 118560228

Least Common Multiple (LCM) of 18852 and 18867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18852 and 18867. First we will calculate the prime factors of 18852 and 18867.

Prime Factorization of 18852

Prime Factorization of 18867

Now multiplying the highest exponent prime factors to calculate the LCM of 18852 and 18867.

LCM(18852,18867) = 2² × 3¹ × 1571¹ × 19¹ × 331¹
LCM(18852,18867) = 118560228