GCF and LCM Calculator Logo

What is the Least Common Multiple of 28599 and 28617?

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 28599 and 28617 is 272805861.

LCM(28599,28617) = 272805861

LCM Calculator and
and

Least Common Multiple of 28599 and 28617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28599 and 28617, than apply into the LCM equation.

GCF(28599,28617) = 3
LCM(28599,28617) = ( 28599 × 28617) / 3
LCM(28599,28617) = 818417583 / 3
LCM(28599,28617) = 272805861

Least Common Multiple (LCM) of 28599 and 28617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28599 and 28617. First we will calculate the prime factors of 28599 and 28617.

Prime Factorization of 28599

Prime factors of 28599 are 3, 9533. Prime factorization of 28599 in exponential form is:

28599 = 31 × 95331

Prime Factorization of 28617

Prime factors of 28617 are 3, 9539. Prime factorization of 28617 in exponential form is:

28617 = 31 × 95391

Now multiplying the highest exponent prime factors to calculate the LCM of 28599 and 28617.

LCM(28599,28617) = 31 × 95331 × 95391
LCM(28599,28617) = 272805861