What is the Least Common Multiple of 56304 and 56322?

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 56304 and 56322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56304 and 56322, than apply into the LCM equation.

GCF(56304,56322) = 18
LCM(56304,56322) = ( 56304 × 56322) / 18
LCM(56304,56322) = 3171153888 / 18
LCM(56304,56322) = 176175216

Least Common Multiple (LCM) of 56304 and 56322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56304 and 56322. First we will calculate the prime factors of 56304 and 56322.

Prime Factorization of 56304

Prime Factorization of 56322

Now multiplying the highest exponent prime factors to calculate the LCM of 56304 and 56322.

LCM(56304,56322) = 2⁴ × 3³ × 17¹ × 23¹ × 7¹ × 149¹
LCM(56304,56322) = 176175216