What is the Least Common Multiple of 24021 and 24038?

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 24021 and 24038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24021 and 24038, than apply into the LCM equation.

GCF(24021,24038) = 17
LCM(24021,24038) = ( 24021 × 24038) / 17
LCM(24021,24038) = 577416798 / 17
LCM(24021,24038) = 33965694

Least Common Multiple (LCM) of 24021 and 24038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24021 and 24038. First we will calculate the prime factors of 24021 and 24038.

Prime Factorization of 24021

Prime Factorization of 24038

Now multiplying the highest exponent prime factors to calculate the LCM of 24021 and 24038.

LCM(24021,24038) = 3² × 17¹ × 157¹ × 2¹ × 7¹ × 101¹
LCM(24021,24038) = 33965694