GCF and LCM Calculator Logo

What is the Least Common Multiple of 91305 and 91309?

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 91305 and 91309 is 8336968245.

LCM(91305,91309) = 8336968245

LCM Calculator and
and

Least Common Multiple of 91305 and 91309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91305 and 91309, than apply into the LCM equation.

GCF(91305,91309) = 1
LCM(91305,91309) = ( 91305 × 91309) / 1
LCM(91305,91309) = 8336968245 / 1
LCM(91305,91309) = 8336968245

Least Common Multiple (LCM) of 91305 and 91309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91305 and 91309. First we will calculate the prime factors of 91305 and 91309.

Prime Factorization of 91305

Prime factors of 91305 are 3, 5, 2029. Prime factorization of 91305 in exponential form is:

91305 = 32 × 51 × 20291

Prime Factorization of 91309

Prime factors of 91309 are 91309. Prime factorization of 91309 in exponential form is:

91309 = 913091

Now multiplying the highest exponent prime factors to calculate the LCM of 91305 and 91309.

LCM(91305,91309) = 32 × 51 × 20291 × 913091
LCM(91305,91309) = 8336968245