What is the Least Common Multiple of 98259 and 98273?

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 98273 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 98273, than apply into the LCM equation.

GCF(98259,98273) = 7
LCM(98259,98273) = ( 98259 × 98273) / 7
LCM(98259,98273) = 9656206707 / 7
LCM(98259,98273) = 1379458101

Least Common Multiple (LCM) of 98259 and 98273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98259 and 98273. First we will calculate the prime factors of 98259 and 98273.

Prime Factorization of 98259

Prime Factorization of 98273

Now multiplying the highest exponent prime factors to calculate the LCM of 98259 and 98273.

LCM(98259,98273) = 3¹ × 7¹ × 4679¹ × 101¹ × 139¹
LCM(98259,98273) = 1379458101