What is the Least Common Multiple of 1188 and 1194?

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 1188 and 1194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1188 and 1194, than apply into the LCM equation.

GCF(1188,1194) = 6
LCM(1188,1194) = ( 1188 × 1194) / 6
LCM(1188,1194) = 1418472 / 6
LCM(1188,1194) = 236412

Least Common Multiple (LCM) of 1188 and 1194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1188 and 1194. First we will calculate the prime factors of 1188 and 1194.

Prime Factorization of 1188

Prime Factorization of 1194

Now multiplying the highest exponent prime factors to calculate the LCM of 1188 and 1194.

LCM(1188,1194) = 2² × 3³ × 11¹ × 199¹
LCM(1188,1194) = 236412