GCF and LCM Calculator Logo

What is the Least Common Multiple of 91580 and 91599?

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 (LCM) of 91580 and 91599 is 441507180.

LCM(91580,91599) = 441507180

LCM Calculator and
and

Least Common Multiple of 91580 and 91599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91580 and 91599, than apply into the LCM equation.

GCF(91580,91599) = 19
LCM(91580,91599) = ( 91580 × 91599) / 19
LCM(91580,91599) = 8388636420 / 19
LCM(91580,91599) = 441507180

Least Common Multiple (LCM) of 91580 and 91599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91580 and 91599. First we will calculate the prime factors of 91580 and 91599.

Prime Factorization of 91580

Prime factors of 91580 are 2, 5, 19, 241. Prime factorization of 91580 in exponential form is:

91580 = 22 × 51 × 191 × 2411

Prime Factorization of 91599

Prime factors of 91599 are 3, 19, 1607. Prime factorization of 91599 in exponential form is:

91599 = 31 × 191 × 16071

Now multiplying the highest exponent prime factors to calculate the LCM of 91580 and 91599.

LCM(91580,91599) = 22 × 51 × 191 × 2411 × 31 × 16071
LCM(91580,91599) = 441507180