What is the Least Common Multiple of 56400 and 56404?

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 56400 and 56404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56400 and 56404, than apply into the LCM equation.

GCF(56400,56404) = 4
LCM(56400,56404) = ( 56400 × 56404) / 4
LCM(56400,56404) = 3181185600 / 4
LCM(56400,56404) = 795296400

Least Common Multiple (LCM) of 56400 and 56404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56400 and 56404. First we will calculate the prime factors of 56400 and 56404.

Prime Factorization of 56400

Prime Factorization of 56404

Now multiplying the highest exponent prime factors to calculate the LCM of 56400 and 56404.

LCM(56400,56404) = 2⁴ × 3¹ × 5² × 47¹ × 59¹ × 239¹
LCM(56400,56404) = 795296400