What is the Least Common Multiple of 28584 and 28592?

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 28584 and 28592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28584 and 28592, than apply into the LCM equation.

GCF(28584,28592) = 8
LCM(28584,28592) = ( 28584 × 28592) / 8
LCM(28584,28592) = 817273728 / 8
LCM(28584,28592) = 102159216

Least Common Multiple (LCM) of 28584 and 28592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28584 and 28592. First we will calculate the prime factors of 28584 and 28592.

Prime Factorization of 28584

Prime Factorization of 28592

Now multiplying the highest exponent prime factors to calculate the LCM of 28584 and 28592.

LCM(28584,28592) = 2⁴ × 3² × 397¹ × 1787¹
LCM(28584,28592) = 102159216