What is the Least Common Multiple of 82590 and 82600?

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 82600 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 82600, than apply into the LCM equation.

GCF(82590,82600) = 10
LCM(82590,82600) = ( 82590 × 82600) / 10
LCM(82590,82600) = 6821934000 / 10
LCM(82590,82600) = 682193400

Least Common Multiple (LCM) of 82590 and 82600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82590 and 82600. First we will calculate the prime factors of 82590 and 82600.

Prime Factorization of 82590

Prime Factorization of 82600

Now multiplying the highest exponent prime factors to calculate the LCM of 82590 and 82600.

LCM(82590,82600) = 2³ × 3¹ × 5² × 2753¹ × 7¹ × 59¹
LCM(82590,82600) = 682193400