What is the Least Common Multiple of 11160 and 11175?

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 11160 and 11175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11160 and 11175, than apply into the LCM equation.

GCF(11160,11175) = 15
LCM(11160,11175) = ( 11160 × 11175) / 15
LCM(11160,11175) = 124713000 / 15
LCM(11160,11175) = 8314200

Least Common Multiple (LCM) of 11160 and 11175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11160 and 11175. First we will calculate the prime factors of 11160 and 11175.

Prime Factorization of 11160

Prime Factorization of 11175

Now multiplying the highest exponent prime factors to calculate the LCM of 11160 and 11175.

LCM(11160,11175) = 2³ × 3² × 5² × 31¹ × 149¹
LCM(11160,11175) = 8314200