What is the Least Common Multiple of 1192 and 1205?

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 1192 and 1205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1192 and 1205, than apply into the LCM equation.

GCF(1192,1205) = 1
LCM(1192,1205) = ( 1192 × 1205) / 1
LCM(1192,1205) = 1436360 / 1
LCM(1192,1205) = 1436360

Least Common Multiple (LCM) of 1192 and 1205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1192 and 1205. First we will calculate the prime factors of 1192 and 1205.

Prime Factorization of 1192

Prime Factorization of 1205

Now multiplying the highest exponent prime factors to calculate the LCM of 1192 and 1205.

LCM(1192,1205) = 2³ × 149¹ × 5¹ × 241¹
LCM(1192,1205) = 1436360