What is the Least Common Multiple of 82041 and 82059?

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 82041 and 82059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82041 and 82059, than apply into the LCM equation.

GCF(82041,82059) = 3
LCM(82041,82059) = ( 82041 × 82059) / 3
LCM(82041,82059) = 6732202419 / 3
LCM(82041,82059) = 2244067473

Least Common Multiple (LCM) of 82041 and 82059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82041 and 82059. First we will calculate the prime factors of 82041 and 82059.

Prime Factorization of 82041

Prime Factorization of 82059

Now multiplying the highest exponent prime factors to calculate the LCM of 82041 and 82059.

LCM(82041,82059) = 3¹ × 23¹ × 29¹ × 41¹ × 17¹ × 1609¹
LCM(82041,82059) = 2244067473