What is the Least Common Multiple of 54528 and 54546?

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 54546 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 54546, than apply into the LCM equation.

GCF(54528,54546) = 6
LCM(54528,54546) = ( 54528 × 54546) / 6
LCM(54528,54546) = 2974284288 / 6
LCM(54528,54546) = 495714048

Least Common Multiple (LCM) of 54528 and 54546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54528 and 54546. First we will calculate the prime factors of 54528 and 54546.

Prime Factorization of 54528

Prime Factorization of 54546

Now multiplying the highest exponent prime factors to calculate the LCM of 54528 and 54546.

LCM(54528,54546) = 2⁸ × 3¹ × 71¹ × 9091¹
LCM(54528,54546) = 495714048