GCF and LCM Calculator Logo

What is the Least Common Multiple of 91311 and 91329?

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 91311 and 91329 is 2779780773.

LCM(91311,91329) = 2779780773

LCM Calculator and
and

Least Common Multiple of 91311 and 91329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91311 and 91329, than apply into the LCM equation.

GCF(91311,91329) = 3
LCM(91311,91329) = ( 91311 × 91329) / 3
LCM(91311,91329) = 8339342319 / 3
LCM(91311,91329) = 2779780773

Least Common Multiple (LCM) of 91311 and 91329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91311 and 91329. First we will calculate the prime factors of 91311 and 91329.

Prime Factorization of 91311

Prime factors of 91311 are 3, 11, 2767. Prime factorization of 91311 in exponential form is:

91311 = 31 × 111 × 27671

Prime Factorization of 91329

Prime factors of 91329 are 3, 7, 4349. Prime factorization of 91329 in exponential form is:

91329 = 31 × 71 × 43491

Now multiplying the highest exponent prime factors to calculate the LCM of 91311 and 91329.

LCM(91311,91329) = 31 × 111 × 27671 × 71 × 43491
LCM(91311,91329) = 2779780773