What is the Least Common Multiple of 91160 and 91176?

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 91176 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 91176, than apply into the LCM equation.

GCF(91160,91176) = 8
LCM(91160,91176) = ( 91160 × 91176) / 8
LCM(91160,91176) = 8311604160 / 8
LCM(91160,91176) = 1038950520

Least Common Multiple (LCM) of 91160 and 91176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91160 and 91176. First we will calculate the prime factors of 91160 and 91176.

Prime Factorization of 91160

Prime Factorization of 91176

Now multiplying the highest exponent prime factors to calculate the LCM of 91160 and 91176.

LCM(91160,91176) = 2³ × 5¹ × 43¹ × 53¹ × 3¹ × 29¹ × 131¹
LCM(91160,91176) = 1038950520