What is the Least Common Multiple of 91148 and 91168?

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 91148 and 91168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91148 and 91168, than apply into the LCM equation.

GCF(91148,91168) = 4
LCM(91148,91168) = ( 91148 × 91168) / 4
LCM(91148,91168) = 8309780864 / 4
LCM(91148,91168) = 2077445216

Least Common Multiple (LCM) of 91148 and 91168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91148 and 91168. First we will calculate the prime factors of 91148 and 91168.

Prime Factorization of 91148

Prime Factorization of 91168

Now multiplying the highest exponent prime factors to calculate the LCM of 91148 and 91168.

LCM(91148,91168) = 2⁵ × 22787¹ × 7¹ × 11¹ × 37¹
LCM(91148,91168) = 2077445216