What is the Least Common Multiple of 23024 and 23039?

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 23024 and 23039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23024 and 23039, than apply into the LCM equation.

GCF(23024,23039) = 1
LCM(23024,23039) = ( 23024 × 23039) / 1
LCM(23024,23039) = 530449936 / 1
LCM(23024,23039) = 530449936

Least Common Multiple (LCM) of 23024 and 23039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23024 and 23039. First we will calculate the prime factors of 23024 and 23039.

Prime Factorization of 23024

Prime Factorization of 23039

Now multiplying the highest exponent prime factors to calculate the LCM of 23024 and 23039.

LCM(23024,23039) = 2⁴ × 1439¹ × 23039¹
LCM(23024,23039) = 530449936