What is the Least Common Multiple of 52004 and 52024?

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 52004 and 52024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52004 and 52024, than apply into the LCM equation.

GCF(52004,52024) = 4
LCM(52004,52024) = ( 52004 × 52024) / 4
LCM(52004,52024) = 2705456096 / 4
LCM(52004,52024) = 676364024

Least Common Multiple (LCM) of 52004 and 52024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52004 and 52024. First we will calculate the prime factors of 52004 and 52024.

Prime Factorization of 52004

Prime Factorization of 52024

Now multiplying the highest exponent prime factors to calculate the LCM of 52004 and 52024.

LCM(52004,52024) = 2³ × 13001¹ × 7¹ × 929¹
LCM(52004,52024) = 676364024