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 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 Factorization of 28419

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