GCF and LCM Calculator Logo

What is the Least Common Multiple of 9006 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 (LCM) of 9006 and 9016 is 40599048.

LCM(9006,9016) = 40599048

LCM Calculator and
and

Least Common Multiple of 9006 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 9006 and 9016, than apply into the LCM equation.

GCF(9006,9016) = 2
LCM(9006,9016) = ( 9006 × 9016) / 2
LCM(9006,9016) = 81198096 / 2
LCM(9006,9016) = 40599048

Least Common Multiple (LCM) of 9006 and 9016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9006 and 9016. First we will calculate the prime factors of 9006 and 9016.

Prime Factorization of 9006

Prime factors of 9006 are 2, 3, 19, 79. Prime factorization of 9006 in exponential form is:

9006 = 21 × 31 × 191 × 791

Prime Factorization of 9016

Prime factors of 9016 are 2, 7, 23. Prime factorization of 9016 in exponential form is:

9016 = 23 × 72 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 9006 and 9016.

LCM(9006,9016) = 23 × 31 × 191 × 791 × 72 × 231
LCM(9006,9016) = 40599048