What is the Least Common Multiple of 82590 and 82609?

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 82590 and 82609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82590 and 82609, than apply into the LCM equation.

GCF(82590,82609) = 1
LCM(82590,82609) = ( 82590 × 82609) / 1
LCM(82590,82609) = 6822677310 / 1
LCM(82590,82609) = 6822677310

Least Common Multiple (LCM) of 82590 and 82609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82590 and 82609. First we will calculate the prime factors of 82590 and 82609.

Prime Factorization of 82590

Prime Factorization of 82609

Now multiplying the highest exponent prime factors to calculate the LCM of 82590 and 82609.

LCM(82590,82609) = 2¹ × 3¹ × 5¹ × 2753¹ × 82609¹
LCM(82590,82609) = 6822677310