What is the Least Common Multiple of 91168 and 91188?

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 91168 and 91188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91168 and 91188, than apply into the LCM equation.

GCF(91168,91188) = 4
LCM(91168,91188) = ( 91168 × 91188) / 4
LCM(91168,91188) = 8313427584 / 4
LCM(91168,91188) = 2078356896

Least Common Multiple (LCM) of 91168 and 91188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91168 and 91188. First we will calculate the prime factors of 91168 and 91188.

Prime Factorization of 91168

Prime Factorization of 91188

Now multiplying the highest exponent prime factors to calculate the LCM of 91168 and 91188.

LCM(91168,91188) = 2⁵ × 7¹ × 11¹ × 37¹ × 3² × 17¹ × 149¹
LCM(91168,91188) = 2078356896