What is the Least Common Multiple of 98723 and 98743?

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 98723 and 98743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98723 and 98743, than apply into the LCM equation.

GCF(98723,98743) = 1
LCM(98723,98743) = ( 98723 × 98743) / 1
LCM(98723,98743) = 9748205189 / 1
LCM(98723,98743) = 9748205189

Least Common Multiple (LCM) of 98723 and 98743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98723 and 98743. First we will calculate the prime factors of 98723 and 98743.

Prime Factorization of 98723

Prime Factorization of 98743

Now multiplying the highest exponent prime factors to calculate the LCM of 98723 and 98743.

LCM(98723,98743) = 269¹ × 367¹ × 19¹ × 5197¹
LCM(98723,98743) = 9748205189