What is the Least Common Multiple of 54504 and 54513?

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 54504 and 54513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54504 and 54513, than apply into the LCM equation.

GCF(54504,54513) = 9
LCM(54504,54513) = ( 54504 × 54513) / 9
LCM(54504,54513) = 2971176552 / 9
LCM(54504,54513) = 330130728

Least Common Multiple (LCM) of 54504 and 54513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54504 and 54513. First we will calculate the prime factors of 54504 and 54513.

Prime Factorization of 54504

Prime Factorization of 54513

Now multiplying the highest exponent prime factors to calculate the LCM of 54504 and 54513.

LCM(54504,54513) = 2³ × 3⁴ × 757¹ × 673¹
LCM(54504,54513) = 330130728