What is the Least Common Multiple of 18675 and 18689?

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 18675 and 18689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18675 and 18689, than apply into the LCM equation.

GCF(18675,18689) = 1
LCM(18675,18689) = ( 18675 × 18689) / 1
LCM(18675,18689) = 349017075 / 1
LCM(18675,18689) = 349017075

Least Common Multiple (LCM) of 18675 and 18689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18675 and 18689. First we will calculate the prime factors of 18675 and 18689.

Prime Factorization of 18675

Prime Factorization of 18689

Now multiplying the highest exponent prime factors to calculate the LCM of 18675 and 18689.

LCM(18675,18689) = 3² × 5² × 83¹ × 11¹ × 1699¹
LCM(18675,18689) = 349017075