What is the Least Common Multiple of 54528 and 54533?

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 54528 and 54533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54528 and 54533, than apply into the LCM equation.

GCF(54528,54533) = 1
LCM(54528,54533) = ( 54528 × 54533) / 1
LCM(54528,54533) = 2973575424 / 1
LCM(54528,54533) = 2973575424

Least Common Multiple (LCM) of 54528 and 54533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54528 and 54533. First we will calculate the prime factors of 54528 and 54533.

Prime Factorization of 54528

Prime Factorization of 54533

Now multiplying the highest exponent prime factors to calculate the LCM of 54528 and 54533.

LCM(54528,54533) = 2⁸ × 3¹ × 71¹ × 23¹ × 2371¹
LCM(54528,54533) = 2973575424