GCF and LCM Calculator Logo

What is the Least Common Multiple of 28500 and 28518?

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 28500 and 28518 is 135460500.

LCM(28500,28518) = 135460500

LCM Calculator and
and

Least Common Multiple of 28500 and 28518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28500 and 28518, than apply into the LCM equation.

GCF(28500,28518) = 6
LCM(28500,28518) = ( 28500 × 28518) / 6
LCM(28500,28518) = 812763000 / 6
LCM(28500,28518) = 135460500

Least Common Multiple (LCM) of 28500 and 28518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28500 and 28518. First we will calculate the prime factors of 28500 and 28518.

Prime Factorization of 28500

Prime factors of 28500 are 2, 3, 5, 19. Prime factorization of 28500 in exponential form is:

28500 = 22 × 31 × 53 × 191

Prime Factorization of 28518

Prime factors of 28518 are 2, 3, 7, 97. Prime factorization of 28518 in exponential form is:

28518 = 21 × 31 × 72 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 28500 and 28518.

LCM(28500,28518) = 22 × 31 × 53 × 191 × 72 × 971
LCM(28500,28518) = 135460500