What is the Least Common Multiple of 23079 and 23097?

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 23079 and 23097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23079 and 23097, than apply into the LCM equation.

GCF(23079,23097) = 3
LCM(23079,23097) = ( 23079 × 23097) / 3
LCM(23079,23097) = 533055663 / 3
LCM(23079,23097) = 177685221

Least Common Multiple (LCM) of 23079 and 23097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23079 and 23097. First we will calculate the prime factors of 23079 and 23097.

Prime Factorization of 23079

Prime Factorization of 23097

Now multiplying the highest exponent prime factors to calculate the LCM of 23079 and 23097.

LCM(23079,23097) = 3¹ × 7² × 157¹ × 7699¹
LCM(23079,23097) = 177685221