GCF and LCM Calculator Logo

What is the Least Common Multiple of 9001 and 9011?

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 9001 and 9011 is 81108011.

LCM(9001,9011) = 81108011

LCM Calculator and
and

Least Common Multiple of 9001 and 9011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9001 and 9011, than apply into the LCM equation.

GCF(9001,9011) = 1
LCM(9001,9011) = ( 9001 × 9011) / 1
LCM(9001,9011) = 81108011 / 1
LCM(9001,9011) = 81108011

Least Common Multiple (LCM) of 9001 and 9011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9001 and 9011. First we will calculate the prime factors of 9001 and 9011.

Prime Factorization of 9001

Prime factors of 9001 are 9001. Prime factorization of 9001 in exponential form is:

9001 = 90011

Prime Factorization of 9011

Prime factors of 9011 are 9011. Prime factorization of 9011 in exponential form is:

9011 = 90111

Now multiplying the highest exponent prime factors to calculate the LCM of 9001 and 9011.

LCM(9001,9011) = 90011 × 90111
LCM(9001,9011) = 81108011