What is the Least Common Multiple of 99221 and 99239?

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 99221 and 99239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99221 and 99239, than apply into the LCM equation.

GCF(99221,99239) = 1
LCM(99221,99239) = ( 99221 × 99239) / 1
LCM(99221,99239) = 9846592819 / 1
LCM(99221,99239) = 9846592819

Least Common Multiple (LCM) of 99221 and 99239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99221 and 99239. First we will calculate the prime factors of 99221 and 99239.

Prime Factorization of 99221

Prime Factorization of 99239

Now multiplying the highest exponent prime factors to calculate the LCM of 99221 and 99239.

LCM(99221,99239) = 313¹ × 317¹ × 7¹ × 14177¹
LCM(99221,99239) = 9846592819