What is the Least Common Multiple of 23104 and 23121?

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 23121 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 23121, than apply into the LCM equation.

GCF(23104,23121) = 1
LCM(23104,23121) = ( 23104 × 23121) / 1
LCM(23104,23121) = 534187584 / 1
LCM(23104,23121) = 534187584

Least Common Multiple (LCM) of 23104 and 23121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23104 and 23121. First we will calculate the prime factors of 23104 and 23121.

Prime Factorization of 23104

Prime Factorization of 23121

Now multiplying the highest exponent prime factors to calculate the LCM of 23104 and 23121.

LCM(23104,23121) = 2⁶ × 19² × 3² × 7¹ × 367¹
LCM(23104,23121) = 534187584