What is the Least Common Multiple of 98019 and 98039?

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 98019 and 98039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98019 and 98039, than apply into the LCM equation.

GCF(98019,98039) = 1
LCM(98019,98039) = ( 98019 × 98039) / 1
LCM(98019,98039) = 9609684741 / 1
LCM(98019,98039) = 9609684741

Least Common Multiple (LCM) of 98019 and 98039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98019 and 98039. First we will calculate the prime factors of 98019 and 98039.

Prime Factorization of 98019

Prime Factorization of 98039

Now multiplying the highest exponent prime factors to calculate the LCM of 98019 and 98039.

LCM(98019,98039) = 3² × 10891¹ × 17¹ × 73¹ × 79¹
LCM(98019,98039) = 9609684741