What is the Least Common Multiple of 54304 and 54315?

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 54304 and 54315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54304 and 54315, than apply into the LCM equation.

GCF(54304,54315) = 1
LCM(54304,54315) = ( 54304 × 54315) / 1
LCM(54304,54315) = 2949521760 / 1
LCM(54304,54315) = 2949521760

Least Common Multiple (LCM) of 54304 and 54315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54304 and 54315. First we will calculate the prime factors of 54304 and 54315.

Prime Factorization of 54304

Prime Factorization of 54315

Now multiplying the highest exponent prime factors to calculate the LCM of 54304 and 54315.

LCM(54304,54315) = 2⁵ × 1697¹ × 3² × 5¹ × 17¹ × 71¹
LCM(54304,54315) = 2949521760