What is the Least Common Multiple of 98174 and 98183?

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 98174 and 98183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98174 and 98183, than apply into the LCM equation.

GCF(98174,98183) = 1
LCM(98174,98183) = ( 98174 × 98183) / 1
LCM(98174,98183) = 9639017842 / 1
LCM(98174,98183) = 9639017842

Least Common Multiple (LCM) of 98174 and 98183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98174 and 98183. First we will calculate the prime factors of 98174 and 98183.

Prime Factorization of 98174

Prime Factorization of 98183

Now multiplying the highest exponent prime factors to calculate the LCM of 98174 and 98183.

LCM(98174,98183) = 2¹ × 191¹ × 257¹ × 47¹ × 2089¹
LCM(98174,98183) = 9639017842