What is the Least Common Multiple of 98148 and 98159?

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 98148 and 98159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98148 and 98159, than apply into the LCM equation.

GCF(98148,98159) = 1
LCM(98148,98159) = ( 98148 × 98159) / 1
LCM(98148,98159) = 9634109532 / 1
LCM(98148,98159) = 9634109532

Least Common Multiple (LCM) of 98148 and 98159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98148 and 98159. First we will calculate the prime factors of 98148 and 98159.

Prime Factorization of 98148

Prime Factorization of 98159

Now multiplying the highest exponent prime factors to calculate the LCM of 98148 and 98159.

LCM(98148,98159) = 2² × 3¹ × 8179¹ × 103¹ × 953¹
LCM(98148,98159) = 9634109532