What is the Least Common Multiple of 28590 and 28608?

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 28590 and 28608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28590 and 28608, than apply into the LCM equation.

GCF(28590,28608) = 6
LCM(28590,28608) = ( 28590 × 28608) / 6
LCM(28590,28608) = 817902720 / 6
LCM(28590,28608) = 136317120

Least Common Multiple (LCM) of 28590 and 28608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28590 and 28608. First we will calculate the prime factors of 28590 and 28608.

Prime Factorization of 28590

Prime Factorization of 28608

Now multiplying the highest exponent prime factors to calculate the LCM of 28590 and 28608.

LCM(28590,28608) = 2⁶ × 3¹ × 5¹ × 953¹ × 149¹
LCM(28590,28608) = 136317120