What is the Least Common Multiple of 18589 and 18608?

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 18589 and 18608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18589 and 18608, than apply into the LCM equation.

GCF(18589,18608) = 1
LCM(18589,18608) = ( 18589 × 18608) / 1
LCM(18589,18608) = 345904112 / 1
LCM(18589,18608) = 345904112

Least Common Multiple (LCM) of 18589 and 18608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18589 and 18608. First we will calculate the prime factors of 18589 and 18608.

Prime Factorization of 18589

Prime Factorization of 18608

Now multiplying the highest exponent prime factors to calculate the LCM of 18589 and 18608.

LCM(18589,18608) = 29¹ × 641¹ × 2⁴ × 1163¹
LCM(18589,18608) = 345904112