What is the Least Common Multiple of 56411 and 56428?

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 56411 and 56428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56411 and 56428, than apply into the LCM equation.

GCF(56411,56428) = 1
LCM(56411,56428) = ( 56411 × 56428) / 1
LCM(56411,56428) = 3183159908 / 1
LCM(56411,56428) = 3183159908

Least Common Multiple (LCM) of 56411 and 56428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56411 and 56428. First we will calculate the prime factors of 56411 and 56428.

Prime Factorization of 56411

Prime Factorization of 56428

Now multiplying the highest exponent prime factors to calculate the LCM of 56411 and 56428.

LCM(56411,56428) = 19¹ × 2969¹ × 2² × 14107¹
LCM(56411,56428) = 3183159908