What is the Least Common Multiple of 56416 and 56422?

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 56416 and 56422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56416 and 56422, than apply into the LCM equation.

GCF(56416,56422) = 2
LCM(56416,56422) = ( 56416 × 56422) / 2
LCM(56416,56422) = 3183103552 / 2
LCM(56416,56422) = 1591551776

Least Common Multiple (LCM) of 56416 and 56422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56416 and 56422. First we will calculate the prime factors of 56416 and 56422.

Prime Factorization of 56416

Prime Factorization of 56422

Now multiplying the highest exponent prime factors to calculate the LCM of 56416 and 56422.

LCM(56416,56422) = 2⁵ × 41¹ × 43¹ × 28211¹
LCM(56416,56422) = 1591551776