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 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 Factorization of 28518

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