What is the Least Common Multiple of 98172 and 98189?

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 98189 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 98189, than apply into the LCM equation.

GCF(98172,98189) = 1
LCM(98172,98189) = ( 98172 × 98189) / 1
LCM(98172,98189) = 9639410508 / 1
LCM(98172,98189) = 9639410508

Least Common Multiple (LCM) of 98172 and 98189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98172 and 98189. First we will calculate the prime factors of 98172 and 98189.

Prime Factorization of 98172

Prime Factorization of 98189

Now multiplying the highest exponent prime factors to calculate the LCM of 98172 and 98189.

LCM(98172,98189) = 2² × 3⁵ × 101¹ × 7¹ × 13² × 83¹
LCM(98172,98189) = 9639410508