What is the Least Common Multiple of 56416 and 56434?

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 56434 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 56434, than apply into the LCM equation.

GCF(56416,56434) = 2
LCM(56416,56434) = ( 56416 × 56434) / 2
LCM(56416,56434) = 3183780544 / 2
LCM(56416,56434) = 1591890272

Least Common Multiple (LCM) of 56416 and 56434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56416 and 56434. First we will calculate the prime factors of 56416 and 56434.

Prime Factorization of 56416

Prime Factorization of 56434

Now multiplying the highest exponent prime factors to calculate the LCM of 56416 and 56434.

LCM(56416,56434) = 2⁵ × 41¹ × 43¹ × 7¹ × 29¹ × 139¹
LCM(56416,56434) = 1591890272