What is the Least Common Multiple of 98259 and 98279?

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 98259 and 98279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98259 and 98279, than apply into the LCM equation.

GCF(98259,98279) = 1
LCM(98259,98279) = ( 98259 × 98279) / 1
LCM(98259,98279) = 9656796261 / 1
LCM(98259,98279) = 9656796261

Least Common Multiple (LCM) of 98259 and 98279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98259 and 98279. First we will calculate the prime factors of 98259 and 98279.

Prime Factorization of 98259

Prime Factorization of 98279

Now multiplying the highest exponent prime factors to calculate the LCM of 98259 and 98279.

LCM(98259,98279) = 3¹ × 7¹ × 4679¹ × 23¹ × 4273¹
LCM(98259,98279) = 9656796261