What is the Least Common Multiple of 98184 and 98192?

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 98192 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 98192, than apply into the LCM equation.

GCF(98184,98192) = 8
LCM(98184,98192) = ( 98184 × 98192) / 8
LCM(98184,98192) = 9640883328 / 8
LCM(98184,98192) = 1205110416

Least Common Multiple (LCM) of 98184 and 98192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98184 and 98192. First we will calculate the prime factors of 98184 and 98192.

Prime Factorization of 98184

Prime Factorization of 98192

Now multiplying the highest exponent prime factors to calculate the LCM of 98184 and 98192.

LCM(98184,98192) = 2⁴ × 3¹ × 4091¹ × 17¹ × 19²
LCM(98184,98192) = 1205110416