What is the Least Common Multiple of 91105 and 91116?

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 91105 and 91116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91105 and 91116, than apply into the LCM equation.

GCF(91105,91116) = 1
LCM(91105,91116) = ( 91105 × 91116) / 1
LCM(91105,91116) = 8301123180 / 1
LCM(91105,91116) = 8301123180

Least Common Multiple (LCM) of 91105 and 91116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91105 and 91116. First we will calculate the prime factors of 91105 and 91116.

Prime Factorization of 91105

Prime Factorization of 91116

Now multiplying the highest exponent prime factors to calculate the LCM of 91105 and 91116.

LCM(91105,91116) = 5¹ × 7¹ × 19¹ × 137¹ × 2² × 3² × 2531¹
LCM(91105,91116) = 8301123180