What is the Least Common Multiple of 23104 and 23123?

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 23104 and 23123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23104 and 23123, than apply into the LCM equation.

GCF(23104,23123) = 19
LCM(23104,23123) = ( 23104 × 23123) / 19
LCM(23104,23123) = 534233792 / 19
LCM(23104,23123) = 28117568

Least Common Multiple (LCM) of 23104 and 23123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23104 and 23123. First we will calculate the prime factors of 23104 and 23123.

Prime Factorization of 23104

Prime Factorization of 23123

Now multiplying the highest exponent prime factors to calculate the LCM of 23104 and 23123.

LCM(23104,23123) = 2⁶ × 19² × 1217¹
LCM(23104,23123) = 28117568