What is the Least Common Multiple of 98259 and 98269?

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 98269 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 98269, than apply into the LCM equation.

GCF(98259,98269) = 1
LCM(98259,98269) = ( 98259 × 98269) / 1
LCM(98259,98269) = 9655813671 / 1
LCM(98259,98269) = 9655813671

Least Common Multiple (LCM) of 98259 and 98269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98259 and 98269. First we will calculate the prime factors of 98259 and 98269.

Prime Factorization of 98259

Prime Factorization of 98269

Now multiplying the highest exponent prime factors to calculate the LCM of 98259 and 98269.

LCM(98259,98269) = 3¹ × 7¹ × 4679¹ × 98269¹
LCM(98259,98269) = 9655813671