What is the Least Common Multiple of 23073 and 23079?

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 23073 and 23079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23073 and 23079, than apply into the LCM equation.

GCF(23073,23079) = 3
LCM(23073,23079) = ( 23073 × 23079) / 3
LCM(23073,23079) = 532501767 / 3
LCM(23073,23079) = 177500589

Least Common Multiple (LCM) of 23073 and 23079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23073 and 23079. First we will calculate the prime factors of 23073 and 23079.

Prime Factorization of 23073

Prime Factorization of 23079

Now multiplying the highest exponent prime factors to calculate the LCM of 23073 and 23079.

LCM(23073,23079) = 3¹ × 7691¹ × 7² × 157¹
LCM(23073,23079) = 177500589