What is the Least Common Multiple of 28575 and 28584?

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 28575 and 28584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28575 and 28584, than apply into the LCM equation.

GCF(28575,28584) = 9
LCM(28575,28584) = ( 28575 × 28584) / 9
LCM(28575,28584) = 816787800 / 9
LCM(28575,28584) = 90754200

Least Common Multiple (LCM) of 28575 and 28584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28575 and 28584. First we will calculate the prime factors of 28575 and 28584.

Prime Factorization of 28575

Prime Factorization of 28584

Now multiplying the highest exponent prime factors to calculate the LCM of 28575 and 28584.

LCM(28575,28584) = 3² × 5² × 127¹ × 2³ × 397¹
LCM(28575,28584) = 90754200