What is the Least Common Multiple of 18066 and 18075?

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 18066 and 18075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18066 and 18075, than apply into the LCM equation.

GCF(18066,18075) = 3
LCM(18066,18075) = ( 18066 × 18075) / 3
LCM(18066,18075) = 326542950 / 3
LCM(18066,18075) = 108847650

Least Common Multiple (LCM) of 18066 and 18075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18066 and 18075. First we will calculate the prime factors of 18066 and 18075.

Prime Factorization of 18066

Prime Factorization of 18075

Now multiplying the highest exponent prime factors to calculate the LCM of 18066 and 18075.

LCM(18066,18075) = 2¹ × 3¹ × 3011¹ × 5² × 241¹
LCM(18066,18075) = 108847650