What is the Least Common Multiple of 23604 and 23623?

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 23604 and 23623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23604 and 23623, than apply into the LCM equation.

GCF(23604,23623) = 1
LCM(23604,23623) = ( 23604 × 23623) / 1
LCM(23604,23623) = 557597292 / 1
LCM(23604,23623) = 557597292

Least Common Multiple (LCM) of 23604 and 23623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23604 and 23623. First we will calculate the prime factors of 23604 and 23623.

Prime Factorization of 23604

Prime Factorization of 23623

Now multiplying the highest exponent prime factors to calculate the LCM of 23604 and 23623.

LCM(23604,23623) = 2² × 3¹ × 7¹ × 281¹ × 23623¹
LCM(23604,23623) = 557597292