GCF and LCM Calculator Logo

What is the Least Common Multiple of 28589 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 (LCM) of 28589 and 28608 is 817874112.

LCM(28589,28608) = 817874112

LCM Calculator and
and

Least Common Multiple of 28589 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 28589 and 28608, than apply into the LCM equation.

GCF(28589,28608) = 1
LCM(28589,28608) = ( 28589 × 28608) / 1
LCM(28589,28608) = 817874112 / 1
LCM(28589,28608) = 817874112

Least Common Multiple (LCM) of 28589 and 28608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28589 and 28608. First we will calculate the prime factors of 28589 and 28608.

Prime Factorization of 28589

Prime factors of 28589 are 11, 23, 113. Prime factorization of 28589 in exponential form is:

28589 = 111 × 231 × 1131

Prime Factorization of 28608

Prime factors of 28608 are 2, 3, 149. Prime factorization of 28608 in exponential form is:

28608 = 26 × 31 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 28589 and 28608.

LCM(28589,28608) = 111 × 231 × 1131 × 26 × 31 × 1491
LCM(28589,28608) = 817874112