What is the Least Common Multiple of 91116 and 91136?

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 91116 and 91136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91116 and 91136, than apply into the LCM equation.

GCF(91116,91136) = 4
LCM(91116,91136) = ( 91116 × 91136) / 4
LCM(91116,91136) = 8303947776 / 4
LCM(91116,91136) = 2075986944

Least Common Multiple (LCM) of 91116 and 91136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91116 and 91136. First we will calculate the prime factors of 91116 and 91136.

Prime Factorization of 91116

Prime Factorization of 91136

Now multiplying the highest exponent prime factors to calculate the LCM of 91116 and 91136.

LCM(91116,91136) = 2¹⁰ × 3² × 2531¹ × 89¹
LCM(91116,91136) = 2075986944