What is the Least Common Multiple of 56448 and 56457?

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 56448 and 56457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56448 and 56457, than apply into the LCM equation.

GCF(56448,56457) = 9
LCM(56448,56457) = ( 56448 × 56457) / 9
LCM(56448,56457) = 3186884736 / 9
LCM(56448,56457) = 354098304

Least Common Multiple (LCM) of 56448 and 56457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56448 and 56457. First we will calculate the prime factors of 56448 and 56457.

Prime Factorization of 56448

Prime Factorization of 56457

Now multiplying the highest exponent prime factors to calculate the LCM of 56448 and 56457.

LCM(56448,56457) = 2⁷ × 3⁴ × 7² × 17¹ × 41¹
LCM(56448,56457) = 354098304