What is the Least Common Multiple of 98084 and 98099?

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 98084 and 98099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98084 and 98099, than apply into the LCM equation.

GCF(98084,98099) = 1
LCM(98084,98099) = ( 98084 × 98099) / 1
LCM(98084,98099) = 9621942316 / 1
LCM(98084,98099) = 9621942316

Least Common Multiple (LCM) of 98084 and 98099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98084 and 98099. First we will calculate the prime factors of 98084 and 98099.

Prime Factorization of 98084

Prime Factorization of 98099

Now multiplying the highest exponent prime factors to calculate the LCM of 98084 and 98099.

LCM(98084,98099) = 2² × 7¹ × 31¹ × 113¹ × 263¹ × 373¹
LCM(98084,98099) = 9621942316