What is the Least Common Multiple of 18675 and 18684?

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 18684 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 18684, than apply into the LCM equation.

GCF(18675,18684) = 9
LCM(18675,18684) = ( 18675 × 18684) / 9
LCM(18675,18684) = 348923700 / 9
LCM(18675,18684) = 38769300

Least Common Multiple (LCM) of 18675 and 18684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18675 and 18684. First we will calculate the prime factors of 18675 and 18684.

Prime Factorization of 18675

Prime Factorization of 18684

Now multiplying the highest exponent prime factors to calculate the LCM of 18675 and 18684.

LCM(18675,18684) = 3³ × 5² × 83¹ × 2² × 173¹
LCM(18675,18684) = 38769300