What is the Least Common Multiple of 10386 and 10401?

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 10386 and 10401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10386 and 10401, than apply into the LCM equation.

GCF(10386,10401) = 3
LCM(10386,10401) = ( 10386 × 10401) / 3
LCM(10386,10401) = 108024786 / 3
LCM(10386,10401) = 36008262

Least Common Multiple (LCM) of 10386 and 10401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10386 and 10401. First we will calculate the prime factors of 10386 and 10401.

Prime Factorization of 10386

Prime Factorization of 10401

Now multiplying the highest exponent prime factors to calculate the LCM of 10386 and 10401.

LCM(10386,10401) = 2¹ × 3² × 577¹ × 3467¹
LCM(10386,10401) = 36008262