GCF and LCM Calculator Logo

What is the Least Common Multiple of 9020 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 9020 and 9033 is 81477660.

LCM(9020,9033) = 81477660

LCM Calculator and
and

Least Common Multiple of 9020 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 9020 and 9033, than apply into the LCM equation.

GCF(9020,9033) = 1
LCM(9020,9033) = ( 9020 × 9033) / 1
LCM(9020,9033) = 81477660 / 1
LCM(9020,9033) = 81477660

Least Common Multiple (LCM) of 9020 and 9033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9020 and 9033. First we will calculate the prime factors of 9020 and 9033.

Prime Factorization of 9020

Prime factors of 9020 are 2, 5, 11, 41. Prime factorization of 9020 in exponential form is:

9020 = 22 × 51 × 111 × 411

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 9020 and 9033.

LCM(9020,9033) = 22 × 51 × 111 × 411 × 31 × 30111
LCM(9020,9033) = 81477660