What is the Least Common Multiple of 28500 and 28519?

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 28519 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 28519, than apply into the LCM equation.

GCF(28500,28519) = 19
LCM(28500,28519) = ( 28500 × 28519) / 19
LCM(28500,28519) = 812791500 / 19
LCM(28500,28519) = 42778500

Least Common Multiple (LCM) of 28500 and 28519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28500 and 28519. First we will calculate the prime factors of 28500 and 28519.

Prime Factorization of 28500

Prime Factorization of 28519

Now multiplying the highest exponent prime factors to calculate the LCM of 28500 and 28519.

LCM(28500,28519) = 2² × 3¹ × 5³ × 19² × 79¹
LCM(28500,28519) = 42778500