What is the Least Common Multiple of 98184 and 98198?

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 98184 and 98198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98184 and 98198, than apply into the LCM equation.

GCF(98184,98198) = 2
LCM(98184,98198) = ( 98184 × 98198) / 2
LCM(98184,98198) = 9641472432 / 2
LCM(98184,98198) = 4820736216

Least Common Multiple (LCM) of 98184 and 98198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98184 and 98198. First we will calculate the prime factors of 98184 and 98198.

Prime Factorization of 98184

Prime Factorization of 98198

Now multiplying the highest exponent prime factors to calculate the LCM of 98184 and 98198.

LCM(98184,98198) = 2³ × 3¹ × 4091¹ × 37¹ × 1327¹
LCM(98184,98198) = 4820736216