What is the Least Common Multiple of 84456 and 84471?

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 84456 and 84471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84456 and 84471, than apply into the LCM equation.

GCF(84456,84471) = 3
LCM(84456,84471) = ( 84456 × 84471) / 3
LCM(84456,84471) = 7134082776 / 3
LCM(84456,84471) = 2378027592

Least Common Multiple (LCM) of 84456 and 84471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84456 and 84471. First we will calculate the prime factors of 84456 and 84471.

Prime Factorization of 84456

Prime Factorization of 84471

Now multiplying the highest exponent prime factors to calculate the LCM of 84456 and 84471.

LCM(84456,84471) = 2³ × 3³ × 17¹ × 23¹ × 37¹ × 761¹
LCM(84456,84471) = 2378027592