What is the Least Common Multiple of 56404 and 56411?

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 56404 and 56411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56404 and 56411, than apply into the LCM equation.

GCF(56404,56411) = 1
LCM(56404,56411) = ( 56404 × 56411) / 1
LCM(56404,56411) = 3181806044 / 1
LCM(56404,56411) = 3181806044

Least Common Multiple (LCM) of 56404 and 56411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56404 and 56411. First we will calculate the prime factors of 56404 and 56411.

Prime Factorization of 56404

Prime Factorization of 56411

Now multiplying the highest exponent prime factors to calculate the LCM of 56404 and 56411.

LCM(56404,56411) = 2² × 59¹ × 239¹ × 19¹ × 2969¹
LCM(56404,56411) = 3181806044