What is the Least Common Multiple of 8580 and 8594?

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 8580 and 8594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8580 and 8594, than apply into the LCM equation.

GCF(8580,8594) = 2
LCM(8580,8594) = ( 8580 × 8594) / 2
LCM(8580,8594) = 73736520 / 2
LCM(8580,8594) = 36868260

Least Common Multiple (LCM) of 8580 and 8594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8580 and 8594. First we will calculate the prime factors of 8580 and 8594.

Prime Factorization of 8580

Prime Factorization of 8594

Now multiplying the highest exponent prime factors to calculate the LCM of 8580 and 8594.

LCM(8580,8594) = 2² × 3¹ × 5¹ × 11¹ × 13¹ × 4297¹
LCM(8580,8594) = 36868260