What is the Least Common Multiple of 3024 and 3038?

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 3024 and 3038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3024 and 3038, than apply into the LCM equation.

GCF(3024,3038) = 14
LCM(3024,3038) = ( 3024 × 3038) / 14
LCM(3024,3038) = 9186912 / 14
LCM(3024,3038) = 656208

Least Common Multiple (LCM) of 3024 and 3038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3024 and 3038. First we will calculate the prime factors of 3024 and 3038.

Prime Factorization of 3024

Prime Factorization of 3038

Now multiplying the highest exponent prime factors to calculate the LCM of 3024 and 3038.

LCM(3024,3038) = 2⁴ × 3³ × 7² × 31¹
LCM(3024,3038) = 656208