What is the Least Common Multiple of 1189 and 1208?

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 1189 and 1208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1189 and 1208, than apply into the LCM equation.

GCF(1189,1208) = 1
LCM(1189,1208) = ( 1189 × 1208) / 1
LCM(1189,1208) = 1436312 / 1
LCM(1189,1208) = 1436312

Least Common Multiple (LCM) of 1189 and 1208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1189 and 1208. First we will calculate the prime factors of 1189 and 1208.

Prime Factorization of 1189

Prime Factorization of 1208

Now multiplying the highest exponent prime factors to calculate the LCM of 1189 and 1208.

LCM(1189,1208) = 29¹ × 41¹ × 2³ × 151¹
LCM(1189,1208) = 1436312