What is the Least Common Multiple of 81093 and 81111?

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 81093 and 81111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81093 and 81111, than apply into the LCM equation.

GCF(81093,81111) = 3
LCM(81093,81111) = ( 81093 × 81111) / 3
LCM(81093,81111) = 6577534323 / 3
LCM(81093,81111) = 2192511441

Least Common Multiple (LCM) of 81093 and 81111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81093 and 81111. First we will calculate the prime factors of 81093 and 81111.

Prime Factorization of 81093

Prime Factorization of 81111

Now multiplying the highest exponent prime factors to calculate the LCM of 81093 and 81111.

LCM(81093,81111) = 3¹ × 27031¹ × 19¹ × 1423¹
LCM(81093,81111) = 2192511441