What is the Least Common Multiple of 91176 and 91192?

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 91176 and 91192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91176 and 91192, than apply into the LCM equation.

GCF(91176,91192) = 8
LCM(91176,91192) = ( 91176 × 91192) / 8
LCM(91176,91192) = 8314521792 / 8
LCM(91176,91192) = 1039315224

Least Common Multiple (LCM) of 91176 and 91192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91176 and 91192. First we will calculate the prime factors of 91176 and 91192.

Prime Factorization of 91176

Prime Factorization of 91192

Now multiplying the highest exponent prime factors to calculate the LCM of 91176 and 91192.

LCM(91176,91192) = 2³ × 3¹ × 29¹ × 131¹ × 11399¹
LCM(91176,91192) = 1039315224