What is the Least Common Multiple of 56024 and 56032?

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 56024 and 56032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56024 and 56032, than apply into the LCM equation.

GCF(56024,56032) = 8
LCM(56024,56032) = ( 56024 × 56032) / 8
LCM(56024,56032) = 3139136768 / 8
LCM(56024,56032) = 392392096

Least Common Multiple (LCM) of 56024 and 56032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56024 and 56032. First we will calculate the prime factors of 56024 and 56032.

Prime Factorization of 56024

Prime Factorization of 56032

Now multiplying the highest exponent prime factors to calculate the LCM of 56024 and 56032.

LCM(56024,56032) = 2⁵ × 47¹ × 149¹ × 17¹ × 103¹
LCM(56024,56032) = 392392096