What is the Least Common Multiple of 28605 and 28619?

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 28605 and 28619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28605 and 28619, than apply into the LCM equation.

GCF(28605,28619) = 1
LCM(28605,28619) = ( 28605 × 28619) / 1
LCM(28605,28619) = 818646495 / 1
LCM(28605,28619) = 818646495

Least Common Multiple (LCM) of 28605 and 28619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28605 and 28619. First we will calculate the prime factors of 28605 and 28619.

Prime Factorization of 28605

Prime Factorization of 28619

Now multiplying the highest exponent prime factors to calculate the LCM of 28605 and 28619.

LCM(28605,28619) = 3¹ × 5¹ × 1907¹ × 28619¹
LCM(28605,28619) = 818646495