What is the Least Common Multiple of 23072 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 23072 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 23072 and 23079, than apply into the LCM equation.

GCF(23072,23079) = 7
LCM(23072,23079) = ( 23072 × 23079) / 7
LCM(23072,23079) = 532478688 / 7
LCM(23072,23079) = 76068384

Least Common Multiple (LCM) of 23072 and 23079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23072 and 23079. First we will calculate the prime factors of 23072 and 23079.

Prime Factorization of 23072

Prime Factorization of 23079

Now multiplying the highest exponent prime factors to calculate the LCM of 23072 and 23079.

LCM(23072,23079) = 2⁵ × 7² × 103¹ × 3¹ × 157¹
LCM(23072,23079) = 76068384