What is the Least Common Multiple of 28416 and 28425?

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 28416 and 28425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28416 and 28425, than apply into the LCM equation.

GCF(28416,28425) = 3
LCM(28416,28425) = ( 28416 × 28425) / 3
LCM(28416,28425) = 807724800 / 3
LCM(28416,28425) = 269241600

Least Common Multiple (LCM) of 28416 and 28425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28416 and 28425. First we will calculate the prime factors of 28416 and 28425.

Prime Factorization of 28416

Prime Factorization of 28425

Now multiplying the highest exponent prime factors to calculate the LCM of 28416 and 28425.

LCM(28416,28425) = 2⁸ × 3¹ × 37¹ × 5² × 379¹
LCM(28416,28425) = 269241600