What is the Least Common Multiple of 28609 and 28627?

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 28609 and 28627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28609 and 28627, than apply into the LCM equation.

GCF(28609,28627) = 1
LCM(28609,28627) = ( 28609 × 28627) / 1
LCM(28609,28627) = 818989843 / 1
LCM(28609,28627) = 818989843

Least Common Multiple (LCM) of 28609 and 28627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28609 and 28627. First we will calculate the prime factors of 28609 and 28627.

Prime Factorization of 28609

Prime Factorization of 28627

Now multiplying the highest exponent prime factors to calculate the LCM of 28609 and 28627.

LCM(28609,28627) = 7¹ × 61¹ × 67¹ × 28627¹
LCM(28609,28627) = 818989843