What is the Least Common Multiple of 84558 and 84576?

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 84558 and 84576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84558 and 84576, than apply into the LCM equation.

GCF(84558,84576) = 6
LCM(84558,84576) = ( 84558 × 84576) / 6
LCM(84558,84576) = 7151577408 / 6
LCM(84558,84576) = 1191929568

Least Common Multiple (LCM) of 84558 and 84576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84558 and 84576. First we will calculate the prime factors of 84558 and 84576.

Prime Factorization of 84558

Prime Factorization of 84576

Now multiplying the highest exponent prime factors to calculate the LCM of 84558 and 84576.

LCM(84558,84576) = 2⁵ × 3¹ × 17¹ × 829¹ × 881¹
LCM(84558,84576) = 1191929568