What is the Least Common Multiple of 56404 and 56408?

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 56408 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 56408, than apply into the LCM equation.

GCF(56404,56408) = 4
LCM(56404,56408) = ( 56404 × 56408) / 4
LCM(56404,56408) = 3181636832 / 4
LCM(56404,56408) = 795409208

Least Common Multiple (LCM) of 56404 and 56408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56404 and 56408. First we will calculate the prime factors of 56404 and 56408.

Prime Factorization of 56404

Prime Factorization of 56408

Now multiplying the highest exponent prime factors to calculate the LCM of 56404 and 56408.

LCM(56404,56408) = 2³ × 59¹ × 239¹ × 11¹ × 641¹
LCM(56404,56408) = 795409208