What is the Least Common Multiple of 39004 and 39024?

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 39004 and 39024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39004 and 39024, than apply into the LCM equation.

GCF(39004,39024) = 4
LCM(39004,39024) = ( 39004 × 39024) / 4
LCM(39004,39024) = 1522092096 / 4
LCM(39004,39024) = 380523024

Least Common Multiple (LCM) of 39004 and 39024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39004 and 39024. First we will calculate the prime factors of 39004 and 39024.

Prime Factorization of 39004

Prime Factorization of 39024

Now multiplying the highest exponent prime factors to calculate the LCM of 39004 and 39024.

LCM(39004,39024) = 2⁴ × 7² × 199¹ × 3² × 271¹
LCM(39004,39024) = 380523024