What is the Least Common Multiple of 5008 and 5024?

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 5008 and 5024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5008 and 5024, than apply into the LCM equation.

GCF(5008,5024) = 16
LCM(5008,5024) = ( 5008 × 5024) / 16
LCM(5008,5024) = 25160192 / 16
LCM(5008,5024) = 1572512

Least Common Multiple (LCM) of 5008 and 5024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5008 and 5024. First we will calculate the prime factors of 5008 and 5024.

Prime Factorization of 5008

Prime Factorization of 5024

Now multiplying the highest exponent prime factors to calculate the LCM of 5008 and 5024.

LCM(5008,5024) = 2⁵ × 313¹ × 157¹
LCM(5008,5024) = 1572512