What is the Least Common Multiple of 1182 and 1188?

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 1182 and 1188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1182 and 1188, than apply into the LCM equation.

GCF(1182,1188) = 6
LCM(1182,1188) = ( 1182 × 1188) / 6
LCM(1182,1188) = 1404216 / 6
LCM(1182,1188) = 234036

Least Common Multiple (LCM) of 1182 and 1188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1182 and 1188. First we will calculate the prime factors of 1182 and 1188.

Prime Factorization of 1182

Prime Factorization of 1188

Now multiplying the highest exponent prime factors to calculate the LCM of 1182 and 1188.

LCM(1182,1188) = 2² × 3³ × 197¹ × 11¹
LCM(1182,1188) = 234036