What is the Least Common Multiple of 23568 and 23583?

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 23568 and 23583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23568 and 23583, than apply into the LCM equation.

GCF(23568,23583) = 3
LCM(23568,23583) = ( 23568 × 23583) / 3
LCM(23568,23583) = 555804144 / 3
LCM(23568,23583) = 185268048

Least Common Multiple (LCM) of 23568 and 23583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23568 and 23583. First we will calculate the prime factors of 23568 and 23583.

Prime Factorization of 23568

Prime Factorization of 23583

Now multiplying the highest exponent prime factors to calculate the LCM of 23568 and 23583.

LCM(23568,23583) = 2⁴ × 3¹ × 491¹ × 7¹ × 1123¹
LCM(23568,23583) = 185268048