What is the Least Common Multiple of 82580 and 82594?

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 82580 and 82594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82580 and 82594, than apply into the LCM equation.

GCF(82580,82594) = 2
LCM(82580,82594) = ( 82580 × 82594) / 2
LCM(82580,82594) = 6820612520 / 2
LCM(82580,82594) = 3410306260

Least Common Multiple (LCM) of 82580 and 82594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82580 and 82594. First we will calculate the prime factors of 82580 and 82594.

Prime Factorization of 82580

Prime Factorization of 82594

Now multiplying the highest exponent prime factors to calculate the LCM of 82580 and 82594.

LCM(82580,82594) = 2² × 5¹ × 4129¹ × 61¹ × 677¹
LCM(82580,82594) = 3410306260