What is the Least Common Multiple of 23289 and 23304?

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 23289 and 23304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23289 and 23304, than apply into the LCM equation.

GCF(23289,23304) = 3
LCM(23289,23304) = ( 23289 × 23304) / 3
LCM(23289,23304) = 542726856 / 3
LCM(23289,23304) = 180908952

Least Common Multiple (LCM) of 23289 and 23304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23289 and 23304. First we will calculate the prime factors of 23289 and 23304.

Prime Factorization of 23289

Prime Factorization of 23304

Now multiplying the highest exponent prime factors to calculate the LCM of 23289 and 23304.

LCM(23289,23304) = 3¹ × 7¹ × 1109¹ × 2³ × 971¹
LCM(23289,23304) = 180908952