GCF and LCM Calculator Logo

What is the Least Common Multiple of 4304 and 4321?

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 4304 and 4321 is 18597584.

LCM(4304,4321) = 18597584

LCM Calculator and
and

Least Common Multiple of 4304 and 4321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4304 and 4321, than apply into the LCM equation.

GCF(4304,4321) = 1
LCM(4304,4321) = ( 4304 × 4321) / 1
LCM(4304,4321) = 18597584 / 1
LCM(4304,4321) = 18597584

Least Common Multiple (LCM) of 4304 and 4321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4304 and 4321. First we will calculate the prime factors of 4304 and 4321.

Prime Factorization of 4304

Prime factors of 4304 are 2, 269. Prime factorization of 4304 in exponential form is:

4304 = 24 × 2691

Prime Factorization of 4321

Prime factors of 4321 are 29, 149. Prime factorization of 4321 in exponential form is:

4321 = 291 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 4304 and 4321.

LCM(4304,4321) = 24 × 2691 × 291 × 1491
LCM(4304,4321) = 18597584