GCF and LCM Calculator Logo

What is the Least Common Multiple of 28404 and 28419?

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 28404 and 28419 is 269071092.

LCM(28404,28419) = 269071092

LCM Calculator and
and

Least Common Multiple of 28404 and 28419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28404 and 28419, than apply into the LCM equation.

GCF(28404,28419) = 3
LCM(28404,28419) = ( 28404 × 28419) / 3
LCM(28404,28419) = 807213276 / 3
LCM(28404,28419) = 269071092

Least Common Multiple (LCM) of 28404 and 28419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28404 and 28419. First we will calculate the prime factors of 28404 and 28419.

Prime Factorization of 28404

Prime factors of 28404 are 2, 3, 263. Prime factorization of 28404 in exponential form is:

28404 = 22 × 33 × 2631

Prime Factorization of 28419

Prime factors of 28419 are 3, 9473. Prime factorization of 28419 in exponential form is:

28419 = 31 × 94731

Now multiplying the highest exponent prime factors to calculate the LCM of 28404 and 28419.

LCM(28404,28419) = 22 × 33 × 2631 × 94731
LCM(28404,28419) = 269071092