What is the Least Common Multiple of 83359 and 83375?

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 83359 and 83375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83359 and 83375, than apply into the LCM equation.

GCF(83359,83375) = 1
LCM(83359,83375) = ( 83359 × 83375) / 1
LCM(83359,83375) = 6950056625 / 1
LCM(83359,83375) = 6950056625

Least Common Multiple (LCM) of 83359 and 83375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83359 and 83375. First we will calculate the prime factors of 83359 and 83375.

Prime Factorization of 83359

Prime Factorization of 83375

Now multiplying the highest exponent prime factors to calculate the LCM of 83359 and 83375.

LCM(83359,83375) = 31¹ × 2689¹ × 5³ × 23¹ × 29¹
LCM(83359,83375) = 6950056625