What is the Least Common Multiple of 83088 and 83093?

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 83088 and 83093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83088 and 83093, than apply into the LCM equation.

GCF(83088,83093) = 1
LCM(83088,83093) = ( 83088 × 83093) / 1
LCM(83088,83093) = 6904031184 / 1
LCM(83088,83093) = 6904031184

Least Common Multiple (LCM) of 83088 and 83093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83088 and 83093. First we will calculate the prime factors of 83088 and 83093.

Prime Factorization of 83088

Prime Factorization of 83093

Now multiplying the highest exponent prime factors to calculate the LCM of 83088 and 83093.

LCM(83088,83093) = 2⁴ × 3² × 577¹ × 83093¹
LCM(83088,83093) = 6904031184