GCF and LCM Calculator Logo

What is the Least Common Multiple of 30389 and 30404?

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 30389 and 30404 is 923947156.

LCM(30389,30404) = 923947156

LCM Calculator and
and

Least Common Multiple of 30389 and 30404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30389 and 30404, than apply into the LCM equation.

GCF(30389,30404) = 1
LCM(30389,30404) = ( 30389 × 30404) / 1
LCM(30389,30404) = 923947156 / 1
LCM(30389,30404) = 923947156

Least Common Multiple (LCM) of 30389 and 30404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30389 and 30404. First we will calculate the prime factors of 30389 and 30404.

Prime Factorization of 30389

Prime factors of 30389 are 30389. Prime factorization of 30389 in exponential form is:

30389 = 303891

Prime Factorization of 30404

Prime factors of 30404 are 2, 11, 691. Prime factorization of 30404 in exponential form is:

30404 = 22 × 111 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 30389 and 30404.

LCM(30389,30404) = 303891 × 22 × 111 × 6911
LCM(30389,30404) = 923947156