What is the Least Common Multiple of 98175 and 98184?

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 98175 and 98184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98175 and 98184, than apply into the LCM equation.

GCF(98175,98184) = 3
LCM(98175,98184) = ( 98175 × 98184) / 3
LCM(98175,98184) = 9639214200 / 3
LCM(98175,98184) = 3213071400

Least Common Multiple (LCM) of 98175 and 98184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98175 and 98184. First we will calculate the prime factors of 98175 and 98184.

Prime Factorization of 98175

Prime Factorization of 98184

Now multiplying the highest exponent prime factors to calculate the LCM of 98175 and 98184.

LCM(98175,98184) = 3¹ × 5² × 7¹ × 11¹ × 17¹ × 2³ × 4091¹
LCM(98175,98184) = 3213071400