What is the Least Common Multiple of 8580 and 8585?

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 8585 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 8585, than apply into the LCM equation.

GCF(8580,8585) = 5
LCM(8580,8585) = ( 8580 × 8585) / 5
LCM(8580,8585) = 73659300 / 5
LCM(8580,8585) = 14731860

Least Common Multiple (LCM) of 8580 and 8585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8580 and 8585. First we will calculate the prime factors of 8580 and 8585.

Prime Factorization of 8580

Prime Factorization of 8585

Now multiplying the highest exponent prime factors to calculate the LCM of 8580 and 8585.

LCM(8580,8585) = 2² × 3¹ × 5¹ × 11¹ × 13¹ × 17¹ × 101¹
LCM(8580,8585) = 14731860