What is the Least Common Multiple of 84591 and 84599?

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 84591 and 84599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84591 and 84599, than apply into the LCM equation.

GCF(84591,84599) = 1
LCM(84591,84599) = ( 84591 × 84599) / 1
LCM(84591,84599) = 7156314009 / 1
LCM(84591,84599) = 7156314009

Least Common Multiple (LCM) of 84591 and 84599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84591 and 84599. First we will calculate the prime factors of 84591 and 84599.

Prime Factorization of 84591

Prime Factorization of 84599

Now multiplying the highest exponent prime factors to calculate the LCM of 84591 and 84599.

LCM(84591,84599) = 3³ × 13¹ × 241¹ × 31¹ × 2729¹
LCM(84591,84599) = 7156314009