What is the Least Common Multiple of 28519 and 28539?

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 28519 and 28539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28519 and 28539, than apply into the LCM equation.

GCF(28519,28539) = 1
LCM(28519,28539) = ( 28519 × 28539) / 1
LCM(28519,28539) = 813903741 / 1
LCM(28519,28539) = 813903741

Least Common Multiple (LCM) of 28519 and 28539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28519 and 28539. First we will calculate the prime factors of 28519 and 28539.

Prime Factorization of 28519

Prime Factorization of 28539

Now multiplying the highest exponent prime factors to calculate the LCM of 28519 and 28539.

LCM(28519,28539) = 19² × 79¹ × 3³ × 7¹ × 151¹
LCM(28519,28539) = 813903741