GCF and LCM Calculator Logo

What is the Least Common Multiple of 9018 and 9033?

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 9018 and 9033 is 27153198.

LCM(9018,9033) = 27153198

LCM Calculator and
and

Least Common Multiple of 9018 and 9033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9018 and 9033, than apply into the LCM equation.

GCF(9018,9033) = 3
LCM(9018,9033) = ( 9018 × 9033) / 3
LCM(9018,9033) = 81459594 / 3
LCM(9018,9033) = 27153198

Least Common Multiple (LCM) of 9018 and 9033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9018 and 9033. First we will calculate the prime factors of 9018 and 9033.

Prime Factorization of 9018

Prime factors of 9018 are 2, 3, 167. Prime factorization of 9018 in exponential form is:

9018 = 21 × 33 × 1671

Prime Factorization of 9033

Prime factors of 9033 are 3, 3011. Prime factorization of 9033 in exponential form is:

9033 = 31 × 30111

Now multiplying the highest exponent prime factors to calculate the LCM of 9018 and 9033.

LCM(9018,9033) = 21 × 33 × 1671 × 30111
LCM(9018,9033) = 27153198