What is the Least Common Multiple of 17994 and 18006?

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 17994 and 18006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17994 and 18006, than apply into the LCM equation.

GCF(17994,18006) = 6
LCM(17994,18006) = ( 17994 × 18006) / 6
LCM(17994,18006) = 323999964 / 6
LCM(17994,18006) = 53999994

Least Common Multiple (LCM) of 17994 and 18006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17994 and 18006. First we will calculate the prime factors of 17994 and 18006.

Prime Factorization of 17994

Prime Factorization of 18006

Now multiplying the highest exponent prime factors to calculate the LCM of 17994 and 18006.

LCM(17994,18006) = 2¹ × 3¹ × 2999¹ × 3001¹
LCM(17994,18006) = 53999994