What is the Least Common Multiple of 28608 and 28613?

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 28608 and 28613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28608 and 28613, than apply into the LCM equation.

GCF(28608,28613) = 1
LCM(28608,28613) = ( 28608 × 28613) / 1
LCM(28608,28613) = 818560704 / 1
LCM(28608,28613) = 818560704

Least Common Multiple (LCM) of 28608 and 28613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28608 and 28613. First we will calculate the prime factors of 28608 and 28613.

Prime Factorization of 28608

Prime Factorization of 28613

Now multiplying the highest exponent prime factors to calculate the LCM of 28608 and 28613.

LCM(28608,28613) = 2⁶ × 3¹ × 149¹ × 13¹ × 31¹ × 71¹
LCM(28608,28613) = 818560704