What is the Least Common Multiple of 56312 and 56329?

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 56312 and 56329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56312 and 56329, than apply into the LCM equation.

GCF(56312,56329) = 1
LCM(56312,56329) = ( 56312 × 56329) / 1
LCM(56312,56329) = 3171998648 / 1
LCM(56312,56329) = 3171998648

Least Common Multiple (LCM) of 56312 and 56329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56312 and 56329. First we will calculate the prime factors of 56312 and 56329.

Prime Factorization of 56312

Prime Factorization of 56329

Now multiplying the highest exponent prime factors to calculate the LCM of 56312 and 56329.

LCM(56312,56329) = 2³ × 7039¹ × 7¹ × 13¹ × 619¹
LCM(56312,56329) = 3171998648