What is the Least Common Multiple of 98172 and 98187?

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 98172 and 98187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98172 and 98187, than apply into the LCM equation.

GCF(98172,98187) = 3
LCM(98172,98187) = ( 98172 × 98187) / 3
LCM(98172,98187) = 9639214164 / 3
LCM(98172,98187) = 3213071388

Least Common Multiple (LCM) of 98172 and 98187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98172 and 98187. First we will calculate the prime factors of 98172 and 98187.

Prime Factorization of 98172

Prime Factorization of 98187

Now multiplying the highest exponent prime factors to calculate the LCM of 98172 and 98187.

LCM(98172,98187) = 2² × 3⁵ × 101¹ × 23¹ × 1423¹
LCM(98172,98187) = 3213071388