What is the Least Common Multiple of 28368 and 28372?

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 28368 and 28372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28368 and 28372, than apply into the LCM equation.

GCF(28368,28372) = 4
LCM(28368,28372) = ( 28368 × 28372) / 4
LCM(28368,28372) = 804856896 / 4
LCM(28368,28372) = 201214224

Least Common Multiple (LCM) of 28368 and 28372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28368 and 28372. First we will calculate the prime factors of 28368 and 28372.

Prime Factorization of 28368

Prime Factorization of 28372

Now multiplying the highest exponent prime factors to calculate the LCM of 28368 and 28372.

LCM(28368,28372) = 2⁴ × 3² × 197¹ × 41¹ × 173¹
LCM(28368,28372) = 201214224