What is the Least Common Multiple of 80289 and 80293?

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 80289 and 80293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80289 and 80293, than apply into the LCM equation.

GCF(80289,80293) = 1
LCM(80289,80293) = ( 80289 × 80293) / 1
LCM(80289,80293) = 6446644677 / 1
LCM(80289,80293) = 6446644677

Least Common Multiple (LCM) of 80289 and 80293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80289 and 80293. First we will calculate the prime factors of 80289 and 80293.

Prime Factorization of 80289

Prime Factorization of 80293

Now multiplying the highest exponent prime factors to calculate the LCM of 80289 and 80293.

LCM(80289,80293) = 3² × 11¹ × 811¹ × 23¹ × 3491¹
LCM(80289,80293) = 6446644677