What is the Least Common Multiple of 99099 and 99103?

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 99099 and 99103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99099 and 99103, than apply into the LCM equation.

GCF(99099,99103) = 1
LCM(99099,99103) = ( 99099 × 99103) / 1
LCM(99099,99103) = 9821008197 / 1
LCM(99099,99103) = 9821008197

Least Common Multiple (LCM) of 99099 and 99103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99099 and 99103. First we will calculate the prime factors of 99099 and 99103.

Prime Factorization of 99099

Prime Factorization of 99103

Now multiplying the highest exponent prime factors to calculate the LCM of 99099 and 99103.

LCM(99099,99103) = 3² × 7¹ × 11² × 13¹ × 99103¹
LCM(99099,99103) = 9821008197