What is the Least Common Multiple of 28588 and 28606?

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 28588 and 28606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28588 and 28606, than apply into the LCM equation.

GCF(28588,28606) = 2
LCM(28588,28606) = ( 28588 × 28606) / 2
LCM(28588,28606) = 817788328 / 2
LCM(28588,28606) = 408894164

Least Common Multiple (LCM) of 28588 and 28606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28588 and 28606. First we will calculate the prime factors of 28588 and 28606.

Prime Factorization of 28588

Prime Factorization of 28606

Now multiplying the highest exponent prime factors to calculate the LCM of 28588 and 28606.

LCM(28588,28606) = 2² × 7¹ × 1021¹ × 14303¹
LCM(28588,28606) = 408894164