What is the Least Common Multiple of 31160 and 31175?

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 31160 and 31175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31160 and 31175, than apply into the LCM equation.

GCF(31160,31175) = 5
LCM(31160,31175) = ( 31160 × 31175) / 5
LCM(31160,31175) = 971413000 / 5
LCM(31160,31175) = 194282600

Least Common Multiple (LCM) of 31160 and 31175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31160 and 31175. First we will calculate the prime factors of 31160 and 31175.

Prime Factorization of 31160

Prime Factorization of 31175

Now multiplying the highest exponent prime factors to calculate the LCM of 31160 and 31175.

LCM(31160,31175) = 2³ × 5² × 19¹ × 41¹ × 29¹ × 43¹
LCM(31160,31175) = 194282600