What is the Least Common Multiple of 5024 and 5039?

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 5024 and 5039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5024 and 5039, than apply into the LCM equation.

GCF(5024,5039) = 1
LCM(5024,5039) = ( 5024 × 5039) / 1
LCM(5024,5039) = 25315936 / 1
LCM(5024,5039) = 25315936

Least Common Multiple (LCM) of 5024 and 5039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5024 and 5039. First we will calculate the prime factors of 5024 and 5039.

Prime Factorization of 5024

Prime Factorization of 5039

Now multiplying the highest exponent prime factors to calculate the LCM of 5024 and 5039.

LCM(5024,5039) = 2⁵ × 157¹ × 5039¹
LCM(5024,5039) = 25315936