GCF and LCM Calculator Logo

What is the Least Common Multiple of 28563 and 28578?

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 28563 and 28578 is 272091138.

LCM(28563,28578) = 272091138

LCM Calculator and
and

Least Common Multiple of 28563 and 28578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28563 and 28578, than apply into the LCM equation.

GCF(28563,28578) = 3
LCM(28563,28578) = ( 28563 × 28578) / 3
LCM(28563,28578) = 816273414 / 3
LCM(28563,28578) = 272091138

Least Common Multiple (LCM) of 28563 and 28578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28563 and 28578. First we will calculate the prime factors of 28563 and 28578.

Prime Factorization of 28563

Prime factors of 28563 are 3, 9521. Prime factorization of 28563 in exponential form is:

28563 = 31 × 95211

Prime Factorization of 28578

Prime factors of 28578 are 2, 3, 11, 433. Prime factorization of 28578 in exponential form is:

28578 = 21 × 31 × 111 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 28563 and 28578.

LCM(28563,28578) = 31 × 95211 × 21 × 111 × 4331
LCM(28563,28578) = 272091138