What is the Least Common Multiple of 99293 and 99298?

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 99293 and 99298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99293 and 99298, than apply into the LCM equation.

GCF(99293,99298) = 1
LCM(99293,99298) = ( 99293 × 99298) / 1
LCM(99293,99298) = 9859596314 / 1
LCM(99293,99298) = 9859596314

Least Common Multiple (LCM) of 99293 and 99298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99293 and 99298. First we will calculate the prime factors of 99293 and 99298.

Prime Factorization of 99293

Prime Factorization of 99298

Now multiplying the highest exponent prime factors to calculate the LCM of 99293 and 99298.

LCM(99293,99298) = 31¹ × 3203¹ × 2¹ × 131¹ × 379¹
LCM(99293,99298) = 9859596314