What is the Least Common Multiple of 90528 and 90543?

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 90528 and 90543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90528 and 90543, than apply into the LCM equation.

GCF(90528,90543) = 3
LCM(90528,90543) = ( 90528 × 90543) / 3
LCM(90528,90543) = 8196676704 / 3
LCM(90528,90543) = 2732225568

Least Common Multiple (LCM) of 90528 and 90543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90528 and 90543. First we will calculate the prime factors of 90528 and 90543.

Prime Factorization of 90528

Prime Factorization of 90543

Now multiplying the highest exponent prime factors to calculate the LCM of 90528 and 90543.

LCM(90528,90543) = 2⁵ × 3¹ × 23¹ × 41¹ × 30181¹
LCM(90528,90543) = 2732225568