What is the Least Common Multiple of 98097 and 98107?

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 98097 and 98107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98097 and 98107, than apply into the LCM equation.

GCF(98097,98107) = 1
LCM(98097,98107) = ( 98097 × 98107) / 1
LCM(98097,98107) = 9624002379 / 1
LCM(98097,98107) = 9624002379

Least Common Multiple (LCM) of 98097 and 98107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98097 and 98107. First we will calculate the prime factors of 98097 and 98107.

Prime Factorization of 98097

Prime Factorization of 98107

Now multiplying the highest exponent prime factors to calculate the LCM of 98097 and 98107.

LCM(98097,98107) = 3¹ × 19¹ × 1721¹ × 17¹ × 29¹ × 199¹
LCM(98097,98107) = 9624002379