What is the Least Common Multiple of 28419 and 28428?

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 28419 and 28428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28419 and 28428, than apply into the LCM equation.

GCF(28419,28428) = 3
LCM(28419,28428) = ( 28419 × 28428) / 3
LCM(28419,28428) = 807895332 / 3
LCM(28419,28428) = 269298444

Least Common Multiple (LCM) of 28419 and 28428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28419 and 28428. First we will calculate the prime factors of 28419 and 28428.

Prime Factorization of 28419

Prime Factorization of 28428

Now multiplying the highest exponent prime factors to calculate the LCM of 28419 and 28428.

LCM(28419,28428) = 3¹ × 9473¹ × 2² × 23¹ × 103¹
LCM(28419,28428) = 269298444