GCF and LCM Calculator Logo

What is the Least Common Multiple of 91305 and 91310?

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 91310 is 1667411910.

LCM(91305,91310) = 1667411910

LCM Calculator and
and

Least Common Multiple of 91305 and 91310 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 91310, than apply into the LCM equation.

GCF(91305,91310) = 5
LCM(91305,91310) = ( 91305 × 91310) / 5
LCM(91305,91310) = 8337059550 / 5
LCM(91305,91310) = 1667411910

Least Common Multiple (LCM) of 91305 and 91310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91305 and 91310. First we will calculate the prime factors of 91305 and 91310.

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 91310

Prime factors of 91310 are 2, 5, 23, 397. Prime factorization of 91310 in exponential form is:

91310 = 21 × 51 × 231 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 91305 and 91310.

LCM(91305,91310) = 32 × 51 × 20291 × 21 × 231 × 3971
LCM(91305,91310) = 1667411910