What is the Least Common Multiple of 34386 and 34401?

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 of 34386 and 34401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34386 and 34401, than apply into the LCM equation.

GCF(34386,34401) = 3
LCM(34386,34401) = ( 34386 × 34401) / 3
LCM(34386,34401) = 1182912786 / 3
LCM(34386,34401) = 394304262

Least Common Multiple (LCM) of 34386 and 34401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34386 and 34401. First we will calculate the prime factors of 34386 and 34401.

Prime Factorization of 34386

Prime Factorization of 34401

Now multiplying the highest exponent prime factors to calculate the LCM of 34386 and 34401.

LCM(34386,34401) = 2¹ × 3¹ × 11¹ × 521¹ × 11467¹
LCM(34386,34401) = 394304262