What is the Least Common Multiple of 82585 and 82590?

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 82585 and 82590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82585 and 82590, than apply into the LCM equation.

GCF(82585,82590) = 5
LCM(82585,82590) = ( 82585 × 82590) / 5
LCM(82585,82590) = 6820695150 / 5
LCM(82585,82590) = 1364139030

Least Common Multiple (LCM) of 82585 and 82590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82585 and 82590. First we will calculate the prime factors of 82585 and 82590.

Prime Factorization of 82585

Prime Factorization of 82590

Now multiplying the highest exponent prime factors to calculate the LCM of 82585 and 82590.

LCM(82585,82590) = 5¹ × 83¹ × 199¹ × 2¹ × 3¹ × 2753¹
LCM(82585,82590) = 1364139030