What is the Least Common Multiple of 56384 and 56396?

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 56396 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 56396, than apply into the LCM equation.

GCF(56384,56396) = 4
LCM(56384,56396) = ( 56384 × 56396) / 4
LCM(56384,56396) = 3179832064 / 4
LCM(56384,56396) = 794958016

Least Common Multiple (LCM) of 56384 and 56396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56384 and 56396. First we will calculate the prime factors of 56384 and 56396.

Prime Factorization of 56384

Prime Factorization of 56396

Now multiplying the highest exponent prime factors to calculate the LCM of 56384 and 56396.

LCM(56384,56396) = 2⁶ × 881¹ × 23¹ × 613¹
LCM(56384,56396) = 794958016