GCF and LCM Calculator Logo

What is the Least Common Multiple of 9000 and 9019?

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 9000 and 9019 is 81171000.

LCM(9000,9019) = 81171000

LCM Calculator and
and

Least Common Multiple of 9000 and 9019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9000 and 9019, than apply into the LCM equation.

GCF(9000,9019) = 1
LCM(9000,9019) = ( 9000 × 9019) / 1
LCM(9000,9019) = 81171000 / 1
LCM(9000,9019) = 81171000

Least Common Multiple (LCM) of 9000 and 9019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9000 and 9019. First we will calculate the prime factors of 9000 and 9019.

Prime Factorization of 9000

Prime factors of 9000 are 2, 3, 5. Prime factorization of 9000 in exponential form is:

9000 = 23 × 32 × 53

Prime Factorization of 9019

Prime factors of 9019 are 29, 311. Prime factorization of 9019 in exponential form is:

9019 = 291 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 9000 and 9019.

LCM(9000,9019) = 23 × 32 × 53 × 291 × 3111
LCM(9000,9019) = 81171000