What is the Least Common Multiple of 98388 and 98394?

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 98388 and 98394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98388 and 98394, than apply into the LCM equation.

GCF(98388,98394) = 6
LCM(98388,98394) = ( 98388 × 98394) / 6
LCM(98388,98394) = 9680788872 / 6
LCM(98388,98394) = 1613464812

Least Common Multiple (LCM) of 98388 and 98394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98388 and 98394. First we will calculate the prime factors of 98388 and 98394.

Prime Factorization of 98388

Prime Factorization of 98394

Now multiplying the highest exponent prime factors to calculate the LCM of 98388 and 98394.

LCM(98388,98394) = 2² × 3³ × 911¹ × 23² × 31¹
LCM(98388,98394) = 1613464812