What is the Least Common Multiple of 38004 and 38024?

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 38004 and 38024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38004 and 38024, than apply into the LCM equation.

GCF(38004,38024) = 4
LCM(38004,38024) = ( 38004 × 38024) / 4
LCM(38004,38024) = 1445064096 / 4
LCM(38004,38024) = 361266024

Least Common Multiple (LCM) of 38004 and 38024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38004 and 38024. First we will calculate the prime factors of 38004 and 38024.

Prime Factorization of 38004

Prime Factorization of 38024

Now multiplying the highest exponent prime factors to calculate the LCM of 38004 and 38024.

LCM(38004,38024) = 2³ × 3¹ × 3167¹ × 7² × 97¹
LCM(38004,38024) = 361266024