What is the Least Common Multiple of 51024 and 51039?

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 51024 and 51039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51024 and 51039, than apply into the LCM equation.

GCF(51024,51039) = 3
LCM(51024,51039) = ( 51024 × 51039) / 3
LCM(51024,51039) = 2604213936 / 3
LCM(51024,51039) = 868071312

Least Common Multiple (LCM) of 51024 and 51039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51024 and 51039. First we will calculate the prime factors of 51024 and 51039.

Prime Factorization of 51024

Prime Factorization of 51039

Now multiplying the highest exponent prime factors to calculate the LCM of 51024 and 51039.

LCM(51024,51039) = 2⁴ × 3² × 1063¹ × 53¹ × 107¹
LCM(51024,51039) = 868071312