What is the Least Common Multiple of 28584 and 28590?

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 28590 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 28590, than apply into the LCM equation.

GCF(28584,28590) = 6
LCM(28584,28590) = ( 28584 × 28590) / 6
LCM(28584,28590) = 817216560 / 6
LCM(28584,28590) = 136202760

Least Common Multiple (LCM) of 28584 and 28590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28584 and 28590. First we will calculate the prime factors of 28584 and 28590.

Prime Factorization of 28584

Prime Factorization of 28590

Now multiplying the highest exponent prime factors to calculate the LCM of 28584 and 28590.

LCM(28584,28590) = 2³ × 3² × 397¹ × 5¹ × 953¹
LCM(28584,28590) = 136202760