What is the Least Common Multiple of 56446 and 56456?

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 56446 and 56456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56446 and 56456, than apply into the LCM equation.

GCF(56446,56456) = 2
LCM(56446,56456) = ( 56446 × 56456) / 2
LCM(56446,56456) = 3186715376 / 2
LCM(56446,56456) = 1593357688

Least Common Multiple (LCM) of 56446 and 56456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56446 and 56456. First we will calculate the prime factors of 56446 and 56456.

Prime Factorization of 56446

Prime Factorization of 56456

Now multiplying the highest exponent prime factors to calculate the LCM of 56446 and 56456.

LCM(56446,56456) = 2³ × 13² × 167¹ × 7057¹
LCM(56446,56456) = 1593357688