GCF and LCM Calculator Logo

What is the Least Common Multiple of 18994 and 19001?

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 18994 and 19001 is 360904994.

LCM(18994,19001) = 360904994

LCM Calculator and
and

Least Common Multiple of 18994 and 19001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18994 and 19001, than apply into the LCM equation.

GCF(18994,19001) = 1
LCM(18994,19001) = ( 18994 × 19001) / 1
LCM(18994,19001) = 360904994 / 1
LCM(18994,19001) = 360904994

Least Common Multiple (LCM) of 18994 and 19001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18994 and 19001. First we will calculate the prime factors of 18994 and 19001.

Prime Factorization of 18994

Prime factors of 18994 are 2, 9497. Prime factorization of 18994 in exponential form is:

18994 = 21 × 94971

Prime Factorization of 19001

Prime factors of 19001 are 19001. Prime factorization of 19001 in exponential form is:

19001 = 190011

Now multiplying the highest exponent prime factors to calculate the LCM of 18994 and 19001.

LCM(18994,19001) = 21 × 94971 × 190011
LCM(18994,19001) = 360904994