GCF and LCM Calculator Logo

What is the Least Common Multiple of 91384 and 91395?

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 91384 and 91395 is 8352040680.

LCM(91384,91395) = 8352040680

LCM Calculator and
and

Least Common Multiple of 91384 and 91395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91384 and 91395, than apply into the LCM equation.

GCF(91384,91395) = 1
LCM(91384,91395) = ( 91384 × 91395) / 1
LCM(91384,91395) = 8352040680 / 1
LCM(91384,91395) = 8352040680

Least Common Multiple (LCM) of 91384 and 91395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91384 and 91395. First we will calculate the prime factors of 91384 and 91395.

Prime Factorization of 91384

Prime factors of 91384 are 2, 11423. Prime factorization of 91384 in exponential form is:

91384 = 23 × 114231

Prime Factorization of 91395

Prime factors of 91395 are 3, 5, 677. Prime factorization of 91395 in exponential form is:

91395 = 33 × 51 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 91384 and 91395.

LCM(91384,91395) = 23 × 114231 × 33 × 51 × 6771
LCM(91384,91395) = 8352040680