What is the Least Common Multiple of 6580 and 6585?

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 6580 and 6585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6580 and 6585, than apply into the LCM equation.

GCF(6580,6585) = 5
LCM(6580,6585) = ( 6580 × 6585) / 5
LCM(6580,6585) = 43329300 / 5
LCM(6580,6585) = 8665860

Least Common Multiple (LCM) of 6580 and 6585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6580 and 6585. First we will calculate the prime factors of 6580 and 6585.

Prime Factorization of 6580

Prime Factorization of 6585

Now multiplying the highest exponent prime factors to calculate the LCM of 6580 and 6585.

LCM(6580,6585) = 2² × 5¹ × 7¹ × 47¹ × 3¹ × 439¹
LCM(6580,6585) = 8665860