What is the Least Common Multiple of 15023 and 15038?

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 15023 and 15038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15023 and 15038, than apply into the LCM equation.

GCF(15023,15038) = 1
LCM(15023,15038) = ( 15023 × 15038) / 1
LCM(15023,15038) = 225915874 / 1
LCM(15023,15038) = 225915874

Least Common Multiple (LCM) of 15023 and 15038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15023 and 15038. First we will calculate the prime factors of 15023 and 15038.

Prime Factorization of 15023

Prime Factorization of 15038

Now multiplying the highest exponent prime factors to calculate the LCM of 15023 and 15038.

LCM(15023,15038) = 83¹ × 181¹ × 2¹ × 73¹ × 103¹
LCM(15023,15038) = 225915874