What is the Least Common Multiple of 90852 and 90857?

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 90852 and 90857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90852 and 90857, than apply into the LCM equation.

GCF(90852,90857) = 1
LCM(90852,90857) = ( 90852 × 90857) / 1
LCM(90852,90857) = 8254540164 / 1
LCM(90852,90857) = 8254540164

Least Common Multiple (LCM) of 90852 and 90857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90852 and 90857. First we will calculate the prime factors of 90852 and 90857.

Prime Factorization of 90852

Prime Factorization of 90857

Now multiplying the highest exponent prime factors to calculate the LCM of 90852 and 90857.

LCM(90852,90857) = 2² × 3¹ × 67¹ × 113¹ × 13¹ × 29¹ × 241¹
LCM(90852,90857) = 8254540164