What is the Least Common Multiple of 84339 and 84347?

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 84339 and 84347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84339 and 84347, than apply into the LCM equation.

GCF(84339,84347) = 1
LCM(84339,84347) = ( 84339 × 84347) / 1
LCM(84339,84347) = 7113741633 / 1
LCM(84339,84347) = 7113741633

Least Common Multiple (LCM) of 84339 and 84347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84339 and 84347. First we will calculate the prime factors of 84339 and 84347.

Prime Factorization of 84339

Prime Factorization of 84347

Now multiplying the highest exponent prime factors to calculate the LCM of 84339 and 84347.

LCM(84339,84347) = 3² × 9371¹ × 84347¹
LCM(84339,84347) = 7113741633