What is the Least Common Multiple of 98313 and 98317?

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 98313 and 98317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98313 and 98317, than apply into the LCM equation.

GCF(98313,98317) = 1
LCM(98313,98317) = ( 98313 × 98317) / 1
LCM(98313,98317) = 9665839221 / 1
LCM(98313,98317) = 9665839221

Least Common Multiple (LCM) of 98313 and 98317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98313 and 98317. First we will calculate the prime factors of 98313 and 98317.

Prime Factorization of 98313

Prime Factorization of 98317

Now multiplying the highest exponent prime factors to calculate the LCM of 98313 and 98317.

LCM(98313,98317) = 3¹ × 32771¹ × 98317¹
LCM(98313,98317) = 9665839221