GCF and LCM Calculator Logo

What is the Least Common Multiple of 34367 and 34386?

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 34367 and 34386 is 1181743662.

LCM(34367,34386) = 1181743662

LCM Calculator and
and

Least Common Multiple of 34367 and 34386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34367 and 34386, than apply into the LCM equation.

GCF(34367,34386) = 1
LCM(34367,34386) = ( 34367 × 34386) / 1
LCM(34367,34386) = 1181743662 / 1
LCM(34367,34386) = 1181743662

Least Common Multiple (LCM) of 34367 and 34386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34367 and 34386. First we will calculate the prime factors of 34367 and 34386.

Prime Factorization of 34367

Prime factors of 34367 are 34367. Prime factorization of 34367 in exponential form is:

34367 = 343671

Prime Factorization of 34386

Prime factors of 34386 are 2, 3, 11, 521. Prime factorization of 34386 in exponential form is:

34386 = 21 × 31 × 111 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 34367 and 34386.

LCM(34367,34386) = 343671 × 21 × 31 × 111 × 5211
LCM(34367,34386) = 1181743662