What is the Least Common Multiple of 99317 and 99331?

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 99317 and 99331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99317 and 99331, than apply into the LCM equation.

GCF(99317,99331) = 1
LCM(99317,99331) = ( 99317 × 99331) / 1
LCM(99317,99331) = 9865256927 / 1
LCM(99317,99331) = 9865256927

Least Common Multiple (LCM) of 99317 and 99331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99317 and 99331. First we will calculate the prime factors of 99317 and 99331.

Prime Factorization of 99317

Prime Factorization of 99331

Now multiplying the highest exponent prime factors to calculate the LCM of 99317 and 99331.

LCM(99317,99331) = 99317¹ × 17¹ × 5843¹
LCM(99317,99331) = 9865256927