What is the Least Common Multiple of 98719 and 98723?

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 98719 and 98723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98719 and 98723, than apply into the LCM equation.

GCF(98719,98723) = 1
LCM(98719,98723) = ( 98719 × 98723) / 1
LCM(98719,98723) = 9745835837 / 1
LCM(98719,98723) = 9745835837

Least Common Multiple (LCM) of 98719 and 98723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98719 and 98723. First we will calculate the prime factors of 98719 and 98723.

Prime Factorization of 98719

Prime Factorization of 98723

Now multiplying the highest exponent prime factors to calculate the LCM of 98719 and 98723.

LCM(98719,98723) = 17¹ × 5807¹ × 269¹ × 367¹
LCM(98719,98723) = 9745835837