What is the Least Common Multiple of 28505 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 28505 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 28505 and 28519, than apply into the LCM equation.

GCF(28505,28519) = 1
LCM(28505,28519) = ( 28505 × 28519) / 1
LCM(28505,28519) = 812934095 / 1
LCM(28505,28519) = 812934095

Least Common Multiple (LCM) of 28505 and 28519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28505 and 28519. First we will calculate the prime factors of 28505 and 28519.

Prime Factorization of 28505

Prime Factorization of 28519

Now multiplying the highest exponent prime factors to calculate the LCM of 28505 and 28519.

LCM(28505,28519) = 5¹ × 5701¹ × 19² × 79¹
LCM(28505,28519) = 812934095