What is the Least Common Multiple of 28613 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 28613 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 28613 and 28627, than apply into the LCM equation.

GCF(28613,28627) = 1
LCM(28613,28627) = ( 28613 × 28627) / 1
LCM(28613,28627) = 819104351 / 1
LCM(28613,28627) = 819104351

Least Common Multiple (LCM) of 28613 and 28627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28613 and 28627. First we will calculate the prime factors of 28613 and 28627.

Prime Factorization of 28613

Prime Factorization of 28627

Now multiplying the highest exponent prime factors to calculate the LCM of 28613 and 28627.

LCM(28613,28627) = 13¹ × 31¹ × 71¹ × 28627¹
LCM(28613,28627) = 819104351