What is the Least Common Multiple of 84933 and 84943?

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 84933 and 84943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84933 and 84943, than apply into the LCM equation.

GCF(84933,84943) = 1
LCM(84933,84943) = ( 84933 × 84943) / 1
LCM(84933,84943) = 7214463819 / 1
LCM(84933,84943) = 7214463819

Least Common Multiple (LCM) of 84933 and 84943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84933 and 84943. First we will calculate the prime factors of 84933 and 84943.

Prime Factorization of 84933

Prime Factorization of 84943

Now multiplying the highest exponent prime factors to calculate the LCM of 84933 and 84943.

LCM(84933,84943) = 3² × 9437¹ × 173¹ × 491¹
LCM(84933,84943) = 7214463819