What is the Least Common Multiple of 99283 and 99293?

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 99283 and 99293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99283 and 99293, than apply into the LCM equation.

GCF(99283,99293) = 1
LCM(99283,99293) = ( 99283 × 99293) / 1
LCM(99283,99293) = 9858106919 / 1
LCM(99283,99293) = 9858106919

Least Common Multiple (LCM) of 99283 and 99293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99283 and 99293. First we will calculate the prime factors of 99283 and 99293.

Prime Factorization of 99283

Prime Factorization of 99293

Now multiplying the highest exponent prime factors to calculate the LCM of 99283 and 99293.

LCM(99283,99293) = 101¹ × 983¹ × 31¹ × 3203¹
LCM(99283,99293) = 9858106919