What is the Least Common Multiple of 1164 and 1175?

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 1164 and 1175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1164 and 1175, than apply into the LCM equation.

GCF(1164,1175) = 1
LCM(1164,1175) = ( 1164 × 1175) / 1
LCM(1164,1175) = 1367700 / 1
LCM(1164,1175) = 1367700

Least Common Multiple (LCM) of 1164 and 1175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1164 and 1175. First we will calculate the prime factors of 1164 and 1175.

Prime Factorization of 1164

Prime Factorization of 1175

Now multiplying the highest exponent prime factors to calculate the LCM of 1164 and 1175.

LCM(1164,1175) = 2² × 3¹ × 97¹ × 5² × 47¹
LCM(1164,1175) = 1367700