What is the Least Common Multiple of 84528 and 84543?

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 84528 and 84543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84528 and 84543, than apply into the LCM equation.

GCF(84528,84543) = 3
LCM(84528,84543) = ( 84528 × 84543) / 3
LCM(84528,84543) = 7146250704 / 3
LCM(84528,84543) = 2382083568

Least Common Multiple (LCM) of 84528 and 84543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84528 and 84543. First we will calculate the prime factors of 84528 and 84543.

Prime Factorization of 84528

Prime Factorization of 84543

Now multiplying the highest exponent prime factors to calculate the LCM of 84528 and 84543.

LCM(84528,84543) = 2⁴ × 3² × 587¹ × 28181¹
LCM(84528,84543) = 2382083568