What is the Least Common Multiple of 9019 and 9032?

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 9019 and 9032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9019 and 9032, than apply into the LCM equation.

GCF(9019,9032) = 1
LCM(9019,9032) = ( 9019 × 9032) / 1
LCM(9019,9032) = 81459608 / 1
LCM(9019,9032) = 81459608

Least Common Multiple (LCM) of 9019 and 9032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9019 and 9032. First we will calculate the prime factors of 9019 and 9032.

Prime Factorization of 9019

Prime Factorization of 9032

Now multiplying the highest exponent prime factors to calculate the LCM of 9019 and 9032.

LCM(9019,9032) = 29¹ × 311¹ × 2³ × 1129¹
LCM(9019,9032) = 81459608