What is the Least Common Multiple of 81073 and 81093?

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 81073 and 81093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81073 and 81093, than apply into the LCM equation.

GCF(81073,81093) = 1
LCM(81073,81093) = ( 81073 × 81093) / 1
LCM(81073,81093) = 6574452789 / 1
LCM(81073,81093) = 6574452789

Least Common Multiple (LCM) of 81073 and 81093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81073 and 81093. First we will calculate the prime factors of 81073 and 81093.

Prime Factorization of 81073

Prime Factorization of 81093

Now multiplying the highest exponent prime factors to calculate the LCM of 81073 and 81093.

LCM(81073,81093) = 17¹ × 19¹ × 251¹ × 3¹ × 27031¹
LCM(81073,81093) = 6574452789