What is the Least Common Multiple of 56204 and 56224?

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 56204 and 56224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56204 and 56224, than apply into the LCM equation.

GCF(56204,56224) = 4
LCM(56204,56224) = ( 56204 × 56224) / 4
LCM(56204,56224) = 3160013696 / 4
LCM(56204,56224) = 790003424

Least Common Multiple (LCM) of 56204 and 56224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56204 and 56224. First we will calculate the prime factors of 56204 and 56224.

Prime Factorization of 56204

Prime Factorization of 56224

Now multiplying the highest exponent prime factors to calculate the LCM of 56204 and 56224.

LCM(56204,56224) = 2⁵ × 14051¹ × 7¹ × 251¹
LCM(56204,56224) = 790003424