What is the Least Common Multiple of 9012 and 9016?

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 9012 and 9016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9012 and 9016, than apply into the LCM equation.

GCF(9012,9016) = 4
LCM(9012,9016) = ( 9012 × 9016) / 4
LCM(9012,9016) = 81252192 / 4
LCM(9012,9016) = 20313048

Least Common Multiple (LCM) of 9012 and 9016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9012 and 9016. First we will calculate the prime factors of 9012 and 9016.

Prime Factorization of 9012

Prime Factorization of 9016

Now multiplying the highest exponent prime factors to calculate the LCM of 9012 and 9016.

LCM(9012,9016) = 2³ × 3¹ × 751¹ × 7² × 23¹
LCM(9012,9016) = 20313048