What is the Least Common Multiple of 8580 and 8584?

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 8584 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 8584, than apply into the LCM equation.

GCF(8580,8584) = 4
LCM(8580,8584) = ( 8580 × 8584) / 4
LCM(8580,8584) = 73650720 / 4
LCM(8580,8584) = 18412680

Least Common Multiple (LCM) of 8580 and 8584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8580 and 8584. First we will calculate the prime factors of 8580 and 8584.

Prime Factorization of 8580

Prime Factorization of 8584

Now multiplying the highest exponent prime factors to calculate the LCM of 8580 and 8584.

LCM(8580,8584) = 2³ × 3¹ × 5¹ × 11¹ × 13¹ × 29¹ × 37¹
LCM(8580,8584) = 18412680