What is the Least Common Multiple of 56384 and 56401?

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 56384 and 56401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56384 and 56401, than apply into the LCM equation.

GCF(56384,56401) = 1
LCM(56384,56401) = ( 56384 × 56401) / 1
LCM(56384,56401) = 3180113984 / 1
LCM(56384,56401) = 3180113984

Least Common Multiple (LCM) of 56384 and 56401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56384 and 56401. First we will calculate the prime factors of 56384 and 56401.

Prime Factorization of 56384

Prime Factorization of 56401

Now multiplying the highest exponent prime factors to calculate the LCM of 56384 and 56401.

LCM(56384,56401) = 2⁶ × 881¹ × 56401¹
LCM(56384,56401) = 3180113984