What is the Least Common Multiple of 98174 and 98181?

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 98181 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 98181, than apply into the LCM equation.

GCF(98174,98181) = 1
LCM(98174,98181) = ( 98174 × 98181) / 1
LCM(98174,98181) = 9638821494 / 1
LCM(98174,98181) = 9638821494

Least Common Multiple (LCM) of 98174 and 98181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98174 and 98181. First we will calculate the prime factors of 98174 and 98181.

Prime Factorization of 98174

Prime Factorization of 98181

Now multiplying the highest exponent prime factors to calculate the LCM of 98174 and 98181.

LCM(98174,98181) = 2¹ × 191¹ × 257¹ × 3² × 10909¹
LCM(98174,98181) = 9638821494