What is the Least Common Multiple of 84876 and 84893?

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 84876 and 84893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84876 and 84893, than apply into the LCM equation.

GCF(84876,84893) = 1
LCM(84876,84893) = ( 84876 × 84893) / 1
LCM(84876,84893) = 7205378268 / 1
LCM(84876,84893) = 7205378268

Least Common Multiple (LCM) of 84876 and 84893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84876 and 84893. First we will calculate the prime factors of 84876 and 84893.

Prime Factorization of 84876

Prime Factorization of 84893

Now multiplying the highest exponent prime factors to calculate the LCM of 84876 and 84893.

LCM(84876,84893) = 2² × 3¹ × 11¹ × 643¹ × 23¹ × 3691¹
LCM(84876,84893) = 7205378268