What is the Least Common Multiple of 83321 and 83333?

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 83321 and 83333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83321 and 83333, than apply into the LCM equation.

GCF(83321,83333) = 1
LCM(83321,83333) = ( 83321 × 83333) / 1
LCM(83321,83333) = 6943388893 / 1
LCM(83321,83333) = 6943388893

Least Common Multiple (LCM) of 83321 and 83333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83321 and 83333. First we will calculate the prime factors of 83321 and 83333.

Prime Factorization of 83321

Prime Factorization of 83333

Now multiplying the highest exponent prime factors to calculate the LCM of 83321 and 83333.

LCM(83321,83333) = 7¹ × 11903¹ × 167¹ × 499¹
LCM(83321,83333) = 6943388893