What is the Least Common Multiple of 23085 and 23104?

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 23085 and 23104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23085 and 23104, than apply into the LCM equation.

GCF(23085,23104) = 19
LCM(23085,23104) = ( 23085 × 23104) / 19
LCM(23085,23104) = 533355840 / 19
LCM(23085,23104) = 28071360

Least Common Multiple (LCM) of 23085 and 23104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23085 and 23104. First we will calculate the prime factors of 23085 and 23104.

Prime Factorization of 23085

Prime Factorization of 23104

Now multiplying the highest exponent prime factors to calculate the LCM of 23085 and 23104.

LCM(23085,23104) = 3⁵ × 5¹ × 19² × 2⁶
LCM(23085,23104) = 28071360