What is the Least Common Multiple of 98084 and 98098?

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 98098 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 98098, than apply into the LCM equation.

GCF(98084,98098) = 14
LCM(98084,98098) = ( 98084 × 98098) / 14
LCM(98084,98098) = 9621844232 / 14
LCM(98084,98098) = 687274588

Least Common Multiple (LCM) of 98084 and 98098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98084 and 98098. First we will calculate the prime factors of 98084 and 98098.

Prime Factorization of 98084

Prime Factorization of 98098

Now multiplying the highest exponent prime factors to calculate the LCM of 98084 and 98098.

LCM(98084,98098) = 2² × 7³ × 31¹ × 113¹ × 11¹ × 13¹
LCM(98084,98098) = 687274588