What is the Least Common Multiple of 18675 and 18687?

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 18687 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 18687, than apply into the LCM equation.

GCF(18675,18687) = 3
LCM(18675,18687) = ( 18675 × 18687) / 3
LCM(18675,18687) = 348979725 / 3
LCM(18675,18687) = 116326575

Least Common Multiple (LCM) of 18675 and 18687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18675 and 18687. First we will calculate the prime factors of 18675 and 18687.

Prime Factorization of 18675

Prime Factorization of 18687

Now multiplying the highest exponent prime factors to calculate the LCM of 18675 and 18687.

LCM(18675,18687) = 3² × 5² × 83¹ × 6229¹
LCM(18675,18687) = 116326575