GCF and LCM Calculator Logo

What is the Least Common Multiple of 69382 and 69389?

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 69382 and 69389 is 4814347598.

LCM(69382,69389) = 4814347598

LCM Calculator and
and

Least Common Multiple of 69382 and 69389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69382 and 69389, than apply into the LCM equation.

GCF(69382,69389) = 1
LCM(69382,69389) = ( 69382 × 69389) / 1
LCM(69382,69389) = 4814347598 / 1
LCM(69382,69389) = 4814347598

Least Common Multiple (LCM) of 69382 and 69389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69382 and 69389. First we will calculate the prime factors of 69382 and 69389.

Prime Factorization of 69382

Prime factors of 69382 are 2, 113, 307. Prime factorization of 69382 in exponential form is:

69382 = 21 × 1131 × 3071

Prime Factorization of 69389

Prime factors of 69389 are 69389. Prime factorization of 69389 in exponential form is:

69389 = 693891

Now multiplying the highest exponent prime factors to calculate the LCM of 69382 and 69389.

LCM(69382,69389) = 21 × 1131 × 3071 × 693891
LCM(69382,69389) = 4814347598