What is the Least Common Multiple of 54528 and 54548?

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 54548 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 54548, than apply into the LCM equation.

GCF(54528,54548) = 4
LCM(54528,54548) = ( 54528 × 54548) / 4
LCM(54528,54548) = 2974393344 / 4
LCM(54528,54548) = 743598336

Least Common Multiple (LCM) of 54528 and 54548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54528 and 54548. First we will calculate the prime factors of 54528 and 54548.

Prime Factorization of 54528

Prime Factorization of 54548

Now multiplying the highest exponent prime factors to calculate the LCM of 54528 and 54548.

LCM(54528,54548) = 2⁸ × 3¹ × 71¹ × 13¹ × 1049¹
LCM(54528,54548) = 743598336