What is the Least Common Multiple of 91160 and 91174?

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 91160 and 91174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91160 and 91174, than apply into the LCM equation.

GCF(91160,91174) = 2
LCM(91160,91174) = ( 91160 × 91174) / 2
LCM(91160,91174) = 8311421840 / 2
LCM(91160,91174) = 4155710920

Least Common Multiple (LCM) of 91160 and 91174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91160 and 91174. First we will calculate the prime factors of 91160 and 91174.

Prime Factorization of 91160

Prime Factorization of 91174

Now multiplying the highest exponent prime factors to calculate the LCM of 91160 and 91174.

LCM(91160,91174) = 2³ × 5¹ × 43¹ × 53¹ × 45587¹
LCM(91160,91174) = 4155710920